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Applications of Holomorphic Functions in Geometry / / by Arif Salimov
| Applications of Holomorphic Functions in Geometry / / by Arif Salimov |
| Autore | Salimov Arif <1956-> |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Birkhäuser, , 2023 |
| Descrizione fisica | 1 online resource (123 pages) |
| Disciplina | 516.36 |
| Collana | Frontiers in Mathematics |
| Soggetto topico |
Geometry
Global analysis (Mathematics) Manifolds (Mathematics) Global Analysis and Analysis on Manifolds Funcions holomorfes Geometria diferencial |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9789819912964
9789819912957 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Holomorphic Manifolds over Algebra -- Anti-Hermitian Geometry -- Problems of Lifts -- References -- Index. |
| Record Nr. | UNINA-9910720074503321 |
Salimov Arif <1956->
|
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| Singapore : , : Springer Nature Singapore : , : Imprint : Birkhäuser, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Arithmetic L-functions and differential geometric methods : regulators IV, May 2016, Paris / / Pierre Charollois, Gerard Freixas i Montplet, Vincent Maillot, editors
| Arithmetic L-functions and differential geometric methods : regulators IV, May 2016, Paris / / Pierre Charollois, Gerard Freixas i Montplet, Vincent Maillot, editors |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
| Descrizione fisica | 1 online resource (VIII, 324 p.) |
| Disciplina | 512.73 |
| Collana | Progress in Mathematics |
| Soggetto topico |
L-functions
Funcions L Geometria diferencial |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-030-65203-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Regulator of hypergeometric fibrations -- Two recent p-adic approaches towards the (effective) Mordell conjecture -- The syntomic regulator for K2 of curves with arbitrary reduction -- Toric regulators -- Higher displays arising from filtered de Rham-Witt complexes -- Orbifold submersion and analytic torsions -- Analytic torsions, regulators and arithmetic hyperbolic manifolds -- A local re nement of the Adams-Riemann-Roch theorem in degree one -- Analytic torsion and dynamical flow: a survey on the Fried conjecture -- A survey of the additive dilogarithm. |
| Record Nr. | UNISA-996466407503316 |
| Cham, Switzerland : , : Birkhäuser, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Arithmetic L-functions and differential geometric methods : regulators IV, May 2016, Paris / / Pierre Charollois, Gerard Freixas i Montplet, Vincent Maillot, editors
| Arithmetic L-functions and differential geometric methods : regulators IV, May 2016, Paris / / Pierre Charollois, Gerard Freixas i Montplet, Vincent Maillot, editors |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
| Descrizione fisica | 1 online resource (VIII, 324 p.) |
| Disciplina | 512.73 |
| Collana | Progress in Mathematics |
| Soggetto topico |
L-functions
Funcions L Geometria diferencial |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-030-65203-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Regulator of hypergeometric fibrations -- Two recent p-adic approaches towards the (effective) Mordell conjecture -- The syntomic regulator for K2 of curves with arbitrary reduction -- Toric regulators -- Higher displays arising from filtered de Rham-Witt complexes -- Orbifold submersion and analytic torsions -- Analytic torsions, regulators and arithmetic hyperbolic manifolds -- A local re nement of the Adams-Riemann-Roch theorem in degree one -- Analytic torsion and dynamical flow: a survey on the Fried conjecture -- A survey of the additive dilogarithm. |
| Record Nr. | UNINA-9910483325303321 |
| Cham, Switzerland : , : Birkhäuser, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Developments in Lorentzian geometry : GeLoCor 2021, Cordoba, Spain, February 1-5 / / edited by Alma L. Albujer [and four others]
| Developments in Lorentzian geometry : GeLoCor 2021, Cordoba, Spain, February 1-5 / / edited by Alma L. Albujer [and four others] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (323 pages) |
| Disciplina | 516 |
| Collana | Springer Proceedings in Mathematics and Statistics |
| Soggetto topico |
Geometry, Differential
General relativity (Physics) Geometria diferencial Relativitat general (Física) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-05379-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Organization -- Preface -- Contents -- Semi-Riemannian Cones with Parallel Null Planes -- 1 Introduction -- 2 The Induced Structure on the Base -- 3 Consequences of the Fundamental Equations -- 4 The Local Form of the Metric on the Base -- References -- Nilpotent Structures of Neutral 4-Manifolds and Light-Like Surfaces -- 1 Introduction -- 2 Complex Structures and Paracomplex Structures of 4-Dimensional Neutral Vector Spaces -- 3 Nilpotent Structures of 4-Dimensional Neutral Vector Spaces -- 4 Almost Complex Structures and Almost Paracomplex Structures of Neutral 4-Manifolds -- 5 Almost Nilpotent Structures of Neutral 4-Manifolds -- 6 Light-Like Surfaces in Neutral 4-Manifolds -- References -- Positive Energy Theorems in Fourth-Order Gravity -- 1 Introduction -- 2 Preliminaries -- 3 Conservation Principles and Fourth Order Energy -- 4 Positive Energy Theorem for Einstein Metrics -- 5 Positive Energy Theorem for Stationary Solutions -- 6 The Q-Curvature Positive Mass Theorem -- References -- Curvature and Killing Vector Fields on Lorentzian 3-Manifolds -- 1 Introduction -- 2 The Newman-Penrose Formalism for Lorentzian 3-Manifolds -- 3 The Newman-Penrose Formalism and Global Obstructions -- 3.1 Evolution Equations for Divergence, Twist, and Shear -- 4 The Newman-Penrose Formalism and Local Classifications -- 4.1 The Riemannian Case -- 4.2 Local Coordinates -- 4.3 The Local Classification -- 4.4 The Lorentzian Setting -- References -- Bochner-Flat Para-Kähler Surfaces -- 1 Introduction -- 2 Walker Structures -- 2.1 Self-Dual Walker Manifolds -- 3 Bochner-Flat Para-Kähler Surfaces -- 3.1 Bochner-Flat Para-Kähler Surfaces of Constant Scalar Curvature -- 3.2 Some Examples of Bochner-Flat Para-Kähler Structures of Non-constant Scalar Curvature -- References -- Remarks on the Existence of CMC Cauchy Surfaces -- 1 Introduction.
2 Some CMC Existence Results -- 2.1 CMC Existence Result from a Spacetime Curvature Condition -- 2.2 CMC Existence Result Related to a Conjecture of Dilts and Holst -- 3 Remarks on the Conformal Structure of Cosmological Spacetimes -- References -- Lorentzian Area and Volume Estimates for Integral Mean Curvature Bounds -- 1 Introduction -- 2 Background -- 2.1 Our Setting -- 2.2 Comparison Spaces -- 2.3 The Cosmological Time Function and Its Properties -- 3 Area and Volume Estimates -- 3.1 Basic Area and Volume Estimates Using Integral Mean Curvature Bounds -- 3.2 Proof of Theorem 2 -- 4 Generalized Area Estimates for MathID486Σt -- 5 Extending Theorem 2 to Subsets and Non-compact MathID519Σ with Finite Area -- 6 Example: For p less than np< -- n, Bounds on the upper L Superscript pLp-Norm of upper H Subscript plusH+ are Insufficient for the Estimates (47), (48) -- References -- Null Hypersurfaces and the Rigged Metric -- 1 Introduction -- 2 Characterization of a Null Cone -- 3 Codimension Two Spacelike Submanifolds Through a Null Hypersurface -- References -- Spacelike Causal Boundary at Finite Distance and Continuous Extension of the Metric: A Preliminary Report -- 1 Introduction -- 2 Spacelike Causal Boundary at Finite Distance -- 3 C0 Extension of the Metric to the Causal Boundary -- References -- Lightlike Hypersurfaces and Time-Minimizing Geodesics in Cone Structures -- 1 Introduction -- 2 Preliminary Notions on Cone Structures -- 3 Lightlike Hypersurfaces -- 4 Smoothness of Achronal Boundaries -- 5 Minimization Properties of Cone Geodesics -- References -- Anisotropic Connections and Parallel Transport in Finsler Spacetimes -- 1 Introduction -- 2 General Background -- 2.1 Pseudo-Finsler Metrics -- 2.2 Finsler Spacetimes and Its Restspace -- 3 Anisotropic Connections -- 3.1 Anisotropic Tensor Fields and Their Vertical Derivatives. 3.2 Basic Notion of Anisotropic Connection -- 3.3 Extension to a Covariant Derivative of Anisotropic Tensors -- 4 Anisotropic Versus Nonlinear Connections -- 4.1 Setting for Nonlinear Connections -- 4.2 Interplay Between Anisotropic Connections and Nonlinear Ones -- 5 Anisotropic Versus Linear Connections -- 5.1 Linear Connections on VArightarrowA -- 5.2 Anisotropic Connections as Vertically Trivial Linear Connections -- 6 Anisotropic Versus Finsler Connections -- 6.1 The Metric Spray -- 6.2 The Finslerian Linear Connections -- 7 Parallel Transport and Anisotropic Connections -- 7.1 Observers and Parallel Transport -- 7.2 Recovering the Anisotropic Connection from the Transport -- 7.3 Levi-Civita-Chern Connection of a Finsler Spacetime -- References -- Stability of Pseudo-Kähler Manifolds and Cohomological Decomposition -- 1 Introduction -- 2 Bott-Chern Cohomology and Pseudo-Kähler Stability -- 3 Cohomological Decomposition and Stability -- 4 Cohomologically Pseudo-Kähler Solvmanifolds -- References -- Singularity Scattering Laws for Bouncing Cosmologies: A Brief Overview -- 1 Introduction -- 2 Global Nonlinear Stability of Einstein Spacetimes -- 2.1 Background -- 2.2 Self-gravitating Massive Matter Field -- 3 Spacetimes with Singularity Hypersurfaces -- 3.1 Our Standpoint -- 3.2 Formulation of the Problem -- 4 Fundamental Notions and Local Existence Theory -- 4.1 A Construction Scheme -- 4.2 Singularity Data and Asymptotic Profiles -- 4.3 Cyclic Spacetimes -- 4.4 Existence and Asymptotic Properties of Cyclic Spacetimes -- 5 Classification of Scattering Maps -- 5.1 Terminology -- 5.2 Main Classification Results -- 5.3 The Three Universal Laws of Quiescent Bouncing Cosmology -- 5.4 Role of the Small-Scale Physics -- References -- ε-Contact Structures and Six-Dimensional Supergravity -- 1 Introduction -- 2 ε-Contact Metric Structures. 3 Null Contact Metric Structures -- 3.1 Sasakian and K-Contact Null Contact Structures -- 4 εη-Einstein Structures and Six-Dimensional Supergravity -- References -- Geometry of Null Hypersurfaces in Lorentzian Space Forms -- 1 Introduction -- 2 The General Framework -- 3 Conformality: Definition, Examples and Related Results -- 4 Null Screen Isoparametric Hypersurfaces -- 5 Null Einstein Hypersurfaces -- References -- Dynamics of Relativistic Particles with Torsion in Certain Non-flat Spacetimes -- 1 Introduction -- 2 Generalities -- 2.1 Calculus of Variations -- 2.2 Equations of Motion -- 3 Set up -- 4 Trajectories in Generalized Robertson-Walker Spacetimes -- 4.1 Frenet Frame -- 4.2 The Curvature Functional -- 4.3 The Torsion Functional -- 5 Trajectories in Standard Static Spacetimes -- 5.1 Frenet Frame -- 5.2 The Curvature Functional -- 5.3 The Torsion Functional -- 6 Discussion -- References -- The Half-Space Model of Pseudo-hyperbolic Space -- 1 Introduction -- 2 First Definitions and Properties -- 2.1 The Half-Space Model -- 2.2 An Isometric Embedding -- 2.3 Symmetries -- 3 Totally Geodesic Submanifolds -- 3.1 The Geodesic Equations -- 3.2 Totally Geodesic Hypersurfaces -- 3.3 The General Classification -- 4 Geodesics -- 4.1 Lightlike Geodesics -- 4.2 A Preliminary Computation -- 4.3 Timelike Geodesics -- 4.4 Spacelike Geodesics -- 5 The Boundary at Infinity -- 5.1 The Extended Embedding -- 5.2 The Full Boundary in the Half-Space Model -- 5.3 Examples -- 5.4 Geodesics Revisited -- 6 Horospheres -- 7 Isometries -- 7.1 The Isometry Group Isom(mathcalHp,q) -- 7.2 Inversions -- 7.3 Action of Isom(mathbbHp,q) -- References -- Author Index. |
| Record Nr. | UNINA-9910616204203321 |
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Developments in Lorentzian geometry : GeLoCor 2021, Cordoba, Spain, February 1-5 / / edited by Alma L. Albujer [and four others]
| Developments in Lorentzian geometry : GeLoCor 2021, Cordoba, Spain, February 1-5 / / edited by Alma L. Albujer [and four others] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (323 pages) |
| Disciplina | 516 |
| Collana | Springer Proceedings in Mathematics and Statistics |
| Soggetto topico |
Geometry, Differential
General relativity (Physics) Geometria diferencial Relativitat general (Física) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-05379-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Organization -- Preface -- Contents -- Semi-Riemannian Cones with Parallel Null Planes -- 1 Introduction -- 2 The Induced Structure on the Base -- 3 Consequences of the Fundamental Equations -- 4 The Local Form of the Metric on the Base -- References -- Nilpotent Structures of Neutral 4-Manifolds and Light-Like Surfaces -- 1 Introduction -- 2 Complex Structures and Paracomplex Structures of 4-Dimensional Neutral Vector Spaces -- 3 Nilpotent Structures of 4-Dimensional Neutral Vector Spaces -- 4 Almost Complex Structures and Almost Paracomplex Structures of Neutral 4-Manifolds -- 5 Almost Nilpotent Structures of Neutral 4-Manifolds -- 6 Light-Like Surfaces in Neutral 4-Manifolds -- References -- Positive Energy Theorems in Fourth-Order Gravity -- 1 Introduction -- 2 Preliminaries -- 3 Conservation Principles and Fourth Order Energy -- 4 Positive Energy Theorem for Einstein Metrics -- 5 Positive Energy Theorem for Stationary Solutions -- 6 The Q-Curvature Positive Mass Theorem -- References -- Curvature and Killing Vector Fields on Lorentzian 3-Manifolds -- 1 Introduction -- 2 The Newman-Penrose Formalism for Lorentzian 3-Manifolds -- 3 The Newman-Penrose Formalism and Global Obstructions -- 3.1 Evolution Equations for Divergence, Twist, and Shear -- 4 The Newman-Penrose Formalism and Local Classifications -- 4.1 The Riemannian Case -- 4.2 Local Coordinates -- 4.3 The Local Classification -- 4.4 The Lorentzian Setting -- References -- Bochner-Flat Para-Kähler Surfaces -- 1 Introduction -- 2 Walker Structures -- 2.1 Self-Dual Walker Manifolds -- 3 Bochner-Flat Para-Kähler Surfaces -- 3.1 Bochner-Flat Para-Kähler Surfaces of Constant Scalar Curvature -- 3.2 Some Examples of Bochner-Flat Para-Kähler Structures of Non-constant Scalar Curvature -- References -- Remarks on the Existence of CMC Cauchy Surfaces -- 1 Introduction.
2 Some CMC Existence Results -- 2.1 CMC Existence Result from a Spacetime Curvature Condition -- 2.2 CMC Existence Result Related to a Conjecture of Dilts and Holst -- 3 Remarks on the Conformal Structure of Cosmological Spacetimes -- References -- Lorentzian Area and Volume Estimates for Integral Mean Curvature Bounds -- 1 Introduction -- 2 Background -- 2.1 Our Setting -- 2.2 Comparison Spaces -- 2.3 The Cosmological Time Function and Its Properties -- 3 Area and Volume Estimates -- 3.1 Basic Area and Volume Estimates Using Integral Mean Curvature Bounds -- 3.2 Proof of Theorem 2 -- 4 Generalized Area Estimates for MathID486Σt -- 5 Extending Theorem 2 to Subsets and Non-compact MathID519Σ with Finite Area -- 6 Example: For p less than np< -- n, Bounds on the upper L Superscript pLp-Norm of upper H Subscript plusH+ are Insufficient for the Estimates (47), (48) -- References -- Null Hypersurfaces and the Rigged Metric -- 1 Introduction -- 2 Characterization of a Null Cone -- 3 Codimension Two Spacelike Submanifolds Through a Null Hypersurface -- References -- Spacelike Causal Boundary at Finite Distance and Continuous Extension of the Metric: A Preliminary Report -- 1 Introduction -- 2 Spacelike Causal Boundary at Finite Distance -- 3 C0 Extension of the Metric to the Causal Boundary -- References -- Lightlike Hypersurfaces and Time-Minimizing Geodesics in Cone Structures -- 1 Introduction -- 2 Preliminary Notions on Cone Structures -- 3 Lightlike Hypersurfaces -- 4 Smoothness of Achronal Boundaries -- 5 Minimization Properties of Cone Geodesics -- References -- Anisotropic Connections and Parallel Transport in Finsler Spacetimes -- 1 Introduction -- 2 General Background -- 2.1 Pseudo-Finsler Metrics -- 2.2 Finsler Spacetimes and Its Restspace -- 3 Anisotropic Connections -- 3.1 Anisotropic Tensor Fields and Their Vertical Derivatives. 3.2 Basic Notion of Anisotropic Connection -- 3.3 Extension to a Covariant Derivative of Anisotropic Tensors -- 4 Anisotropic Versus Nonlinear Connections -- 4.1 Setting for Nonlinear Connections -- 4.2 Interplay Between Anisotropic Connections and Nonlinear Ones -- 5 Anisotropic Versus Linear Connections -- 5.1 Linear Connections on VArightarrowA -- 5.2 Anisotropic Connections as Vertically Trivial Linear Connections -- 6 Anisotropic Versus Finsler Connections -- 6.1 The Metric Spray -- 6.2 The Finslerian Linear Connections -- 7 Parallel Transport and Anisotropic Connections -- 7.1 Observers and Parallel Transport -- 7.2 Recovering the Anisotropic Connection from the Transport -- 7.3 Levi-Civita-Chern Connection of a Finsler Spacetime -- References -- Stability of Pseudo-Kähler Manifolds and Cohomological Decomposition -- 1 Introduction -- 2 Bott-Chern Cohomology and Pseudo-Kähler Stability -- 3 Cohomological Decomposition and Stability -- 4 Cohomologically Pseudo-Kähler Solvmanifolds -- References -- Singularity Scattering Laws for Bouncing Cosmologies: A Brief Overview -- 1 Introduction -- 2 Global Nonlinear Stability of Einstein Spacetimes -- 2.1 Background -- 2.2 Self-gravitating Massive Matter Field -- 3 Spacetimes with Singularity Hypersurfaces -- 3.1 Our Standpoint -- 3.2 Formulation of the Problem -- 4 Fundamental Notions and Local Existence Theory -- 4.1 A Construction Scheme -- 4.2 Singularity Data and Asymptotic Profiles -- 4.3 Cyclic Spacetimes -- 4.4 Existence and Asymptotic Properties of Cyclic Spacetimes -- 5 Classification of Scattering Maps -- 5.1 Terminology -- 5.2 Main Classification Results -- 5.3 The Three Universal Laws of Quiescent Bouncing Cosmology -- 5.4 Role of the Small-Scale Physics -- References -- ε-Contact Structures and Six-Dimensional Supergravity -- 1 Introduction -- 2 ε-Contact Metric Structures. 3 Null Contact Metric Structures -- 3.1 Sasakian and K-Contact Null Contact Structures -- 4 εη-Einstein Structures and Six-Dimensional Supergravity -- References -- Geometry of Null Hypersurfaces in Lorentzian Space Forms -- 1 Introduction -- 2 The General Framework -- 3 Conformality: Definition, Examples and Related Results -- 4 Null Screen Isoparametric Hypersurfaces -- 5 Null Einstein Hypersurfaces -- References -- Dynamics of Relativistic Particles with Torsion in Certain Non-flat Spacetimes -- 1 Introduction -- 2 Generalities -- 2.1 Calculus of Variations -- 2.2 Equations of Motion -- 3 Set up -- 4 Trajectories in Generalized Robertson-Walker Spacetimes -- 4.1 Frenet Frame -- 4.2 The Curvature Functional -- 4.3 The Torsion Functional -- 5 Trajectories in Standard Static Spacetimes -- 5.1 Frenet Frame -- 5.2 The Curvature Functional -- 5.3 The Torsion Functional -- 6 Discussion -- References -- The Half-Space Model of Pseudo-hyperbolic Space -- 1 Introduction -- 2 First Definitions and Properties -- 2.1 The Half-Space Model -- 2.2 An Isometric Embedding -- 2.3 Symmetries -- 3 Totally Geodesic Submanifolds -- 3.1 The Geodesic Equations -- 3.2 Totally Geodesic Hypersurfaces -- 3.3 The General Classification -- 4 Geodesics -- 4.1 Lightlike Geodesics -- 4.2 A Preliminary Computation -- 4.3 Timelike Geodesics -- 4.4 Spacelike Geodesics -- 5 The Boundary at Infinity -- 5.1 The Extended Embedding -- 5.2 The Full Boundary in the Half-Space Model -- 5.3 Examples -- 5.4 Geodesics Revisited -- 6 Horospheres -- 7 Isometries -- 7.1 The Isometry Group Isom(mathcalHp,q) -- 7.2 Inversions -- 7.3 Action of Isom(mathbbHp,q) -- References -- Author Index. |
| Record Nr. | UNISA-996495170703316 |
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Differential Geometric Structures and Applications : 4th International Workshop on Differential Geometry, Haifa, Israel, May 10–13, 2023 / / edited by Vladimir Rovenski, Paweł Walczak, Robert Wolak
| Differential Geometric Structures and Applications : 4th International Workshop on Differential Geometry, Haifa, Israel, May 10–13, 2023 / / edited by Vladimir Rovenski, Paweł Walczak, Robert Wolak |
| Autore | Rovenski Vladimir |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
| Descrizione fisica | 1 online resource (323 pages) |
| Disciplina | 516.36 |
| Altri autori (Persone) |
WalczakPaweł
WolakRobert |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Geometry, Differential
Global analysis (Mathematics) Manifolds (Mathematics) Differential Geometry Global Analysis and Analysis on Manifolds Geometria diferencial |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN |
9783031505867
3031505867 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1.Some topics in Sasakian geometry, a survey ( A. Tralle) -- 2.Einstein-type metrics and Ricci-type solitons on weak f-K-contact (V. Rovenski) -- 3.Weak β-Kenmotsu manifolds and η-Ricci solitons (D.S. Patra, V. Rovenski) -- 4.Twistor bundles of foliated Riemannian manifolds (R. Mohseni and R. Wolak) -- 5.Mixed 3-Sasakian statistical manifolds and statistical submersions (C.D. Neac¸su) -- 6.Minimal unit vector fields on oscillator groups (A. Yampolsky) -- 7.Growth and structure of equicontinuous foliated spaces (M.F. Moreira) -- 8.Lichnerowicz-type Laplacians in the Bochner technique (V. Rovenski, S. Stepanov and I. Tsyganok) -- 9.On general solutions of Sinyukov equations on two-dimensional equidistant (pseudo-)Riemannian spaces (P. Peˇska, L. V´ıtkov´a, J. Mikeˇs and I. Kuzmina) -- 10.Fundamental equations on conformal Fedosov spaces (C. Almazbekov, N. Guseva and J. Mikeˇs) -- 11.Rotary mappings of equidistant spaces (L. V´ıtkov´a) -- 12.Smith-Gysin sequence (J.I.R. Prieto, M. Saralegi-Aranguren, and R. Wolak) -- 13.An Ay-Lˆe-Jost-Schwachh¨ofer type characterization of quantitatively weakly sufficient statistics (K. Yamaguchi and H. Nozawa) -- 14.Lower bounds for high derivatives of smooth functions with given zeros (G. Goldman and Y. Yomdin) -- 15.Interactions between differential geometry and production theory (A.D. Vˆılcu and G.E. Vˆılcu) -- 16.A Lagrangian program detecting the weighted Fermat-Steiner-Fr´echet multitree for a Fr´echet N-multisimplex in Euclidean N-space (A.N Zachos). |
| Record Nr. | UNINA-9910845098703321 |
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Rovenski Vladimir
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| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Differential Geometry : From Elastic Curves to Willmore Surfaces / / by Ulrich Pinkall, Oliver Gross
| Differential Geometry : From Elastic Curves to Willmore Surfaces / / by Ulrich Pinkall, Oliver Gross |
| Autore | Pinkall Ulrich |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2024 |
| Descrizione fisica | 1 online resource (204 pages) |
| Disciplina | 516.36 |
| Altri autori (Persone) | GrossOliver |
| Collana | Compact Textbooks in Mathematics |
| Soggetto topico |
Geometry, Differential
Differential Geometry Geometria diferencial |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-39838-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Acknowledgement -- Contents -- Part I Curves -- 1 Curves in Rn -- 1.1 What is a Curve in Rn? -- 1.2 Length and Arclength -- 1.3 Unit Tangent and Bending Energy -- 2 Variations of Curves -- 2.1 One-Parameter Families of Curves -- 2.2 Variation of Length and Bending Energy -- 2.3 Critical Points of Length and Bending Energy -- 2.4 Constrained Variation -- 2.5 Torsion-Free Elastic Curves and the Pendulum Equation -- 3 Curves in R2 -- 3.1 Plane Curves -- 3.2 Area of a Plane Curve -- 3.3 Planar Elastic Curves -- 3.4 Tangent Winding Number -- 3.5 Regular Homotopy -- 3.6 Whitney-Graustein Theorem -- 4 Parallel Normal Fields -- 4.1 Parallel Transport -- 4.2 Curvature Function of a Curve in Rn -- 4.3 Geometry in Terms of the Curvature Function -- 5 Curves in R3 -- 5.1 Total Torsion of Curves in R3 -- 5.2 Elastic Curves in R3 -- 5.3 Vortex Filament Flow -- 5.4 Total Squared Torsion -- 5.5 Elastic Framed Curves -- 5.6 Frenet Normals -- Part II Surfaces -- 6 Surfaces and Riemannian Geometry -- 6.1 Surfaces in Rn -- 6.2 Tangent Spaces and Derivatives -- 6.3 Riemannian Domains -- 6.4 Linear Algebra on Riemannian Domains -- 6.5 Isometric surfaces -- 7 Integration and Stokes' Theorem -- 7.1 Integration on Surfaces -- 7.2 Integration Over Curves -- 7.3 Stokes' Theorem -- 8 Curvature -- 8.1 Unit Normal of a Surface in R3 -- 8.2 Curvature of a Surface -- 8.3 Area of Maps Into the Plane or the Sphere -- 9 Levi-Civita Connection -- 9.1 Derivatives of Vector Fields -- 9.2 Equations of Gauss and Codazzi -- 9.3 Theorema Egregium -- 10 Total Gaussian Curvature -- 10.1 Curves on Surfaces -- 10.2 Theorem of Gauss and Bonnet -- 10.3 Parallel Transport on Surfaces -- 11 Closed Surfaces -- 11.1 History of Closed Surfaces -- 11.2 Defining Closed Surfaces -- 11.3 Boy's Theorem -- 11.4 The Genus of a Closed Surface -- 12 Variations of Surfaces.
12.1 Vector Calculus on Surfaces -- 12.2 One-Parameter Families of Surfaces -- 12.3 Variation of Curvature -- 12.4 Variation of Area -- 12.5 Variation of Volume -- 13 Willmore Surfaces -- 13.1 The Willmore Functional -- 13.2 Variation of the Willmore Functional -- 13.3 Willmore Functional Under Inversions -- A Some Technicalities -- A.1 Smooth Maps -- A.2 Function Toolbox -- B Timeline -- References -- Index. |
| Record Nr. | UNINA-9910838283803321 |
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Pinkall Ulrich
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Differential geometry / / Victor V. Prasolov
| Differential geometry / / Victor V. Prasolov |
| Autore | Prasolov V. V (Viktor Vasilʹevich) |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (278 pages) |
| Disciplina | 516.36 |
| Collana | Moscow Lectures |
| Soggetto topico |
Geometry, Differential
Geometria diferencial |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-92249-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Basic Notation -- Contents -- 1 Curves in the Plane -- 1.1 Curvature and the Frenet-Serret Formulas -- 1.2 Osculating Circles -- 1.3 The Total Curvature of a Closed Plane Curve -- 1.4 Four-Vertex Theorem -- 1.5 The Natural Equation of a Plane Curve -- 1.6 Whitney-Graustein Theorem -- 1.7 Tube Area and Steiner's Formula -- 1.8 The Envelope of a Family of Curves -- 1.9 Evolute and Involute -- 1.10 Isoperimetric Inequality -- 1.11 Affine Unimodular Differential Geometry -- 1.12 Projective Differential Geometry -- 1.13 The Measure of the Set of Lines Intersecting a Given Curve -- 1.14 Solutions of Problems -- 2 Curves in Space -- 2.1 Curvature and Torsion: The Frenet-Serret Formulas -- 2.2 An Osculating Plane -- 2.3 Total Curvature of a Closed Curve -- 2.4 Bertrand Curves -- 2.5 The Frenet-Serret Formulas in Many-Dimensional Space -- 2.6 Solutions of Problems -- 3 Surfaces in Space -- 3.1 The First Quadratic Form -- 3.2 The Darboux Frame of a Curve on a Surface -- 3.3 Geodesics -- 3.4 The Second Quadratic Form -- 3.5 Gaussian Curvature -- 3.6 Gaussian Curvature and Differential Forms -- 3.7 The Gauss-Bonnet Theorem -- 3.8 Christoffel Symbols -- 3.9 The Spherical Gauss Map -- 3.10 The Geodesic Equation -- 3.11 Parallel Transport Along a Curve -- 3.12 Covariant Differentiation -- 3.13 The Gauss and Codazzi-Mainardi Equations -- 3.14 Riemann Curvature Tensor -- 3.15 Exponential Map -- 3.16 Lines of Curvature and Asymptotic Lines -- 3.17 Minimal Surfaces -- 3.18 The First Variation Formula -- 3.19 The Second Variation Formula -- 3.20 Jacobi Vector Fields and Conjugate Points -- 3.21 Jacobi's Theorem on a Normal Spherical Image -- 3.22 Surfaces of Constant Gaussian Curvature -- 3.23 Rigidity (Unbendability) of the Sphere -- 3.24 Convex Surfaces: Hadamard's Theorem -- 3.25 The Laplace-Beltrami Operator -- 3.26 Solutions of Problems.
4 Hypersurfaces in Rn+1: Connections -- 4.1 The Weingarten Operator -- 4.2 Connections on Hypersurfaces -- 4.3 Geodesics on Hypersurfaces -- 4.4 Convex Hypersurfaces -- 4.5 Minimal Hypersurfaces -- 4.6 Steiner's Formula -- 4.7 Connections on Vector Bundles -- 4.8 Geodesics -- 4.9 The Curvature Tensor and the Torsion Tensor -- 4.10 The Curvature Matrix of a Connection -- 4.11 Solutions of Problems -- 5 Riemannian Manifolds -- 5.1 Levi-Cività Connection -- 5.2 Symmetries of the Riemann Tensor -- 5.3 Geodesics on Riemannian Manifolds -- 5.4 The Hopf-Rinow Theorem -- 5.5 The Existence of Complete Riemannian Metrics -- 5.6 Covariant Differentiation of Tensors -- 5.7 Sectional Curvature -- 5.8 Ricci Tensor -- 5.9 Riemannian Submanifolds -- 5.10 Totally Geodesic Submanifolds -- 5.11 Jacobi Fields and Conjugate Points -- 5.12 Product of Riemannian Manifolds -- 5.13 Holonomy -- 5.14 Commutator and Curvature -- 5.15 Solutions of Problems -- 6 Lie Groups -- 6.1 Lie Groups and Algebras -- 6.2 Adjoint Representation and the Killing Form -- 6.3 Connections and Metrics on Lie Groups -- 6.4 Maurer-Cartan Equations -- 6.5 Invariant Integration on a Compact Lie Group -- 6.6 Lie Derivative -- 6.7 Infinitesimal Isometries -- 6.8 Homogeneous Spaces -- 6.9 Symmetric Spaces -- 6.10 Solutions of Problems -- 7 Comparison Theorems, Curvature and Topology, and Laplacian -- 7.1 The Simplest Comparison Theorems -- 7.2 The Cartan-Hadamard Theorem -- 7.3 Manifolds of Positive Curvature -- 7.4 Manifolds of Constant Curvature -- 7.5 Laplace Operator -- 7.6 Solutions of Problems -- 8 Appendix -- 8.1 Differentiation of Determinants -- 8.2 Jacobi Identity for the Commutator of Vector Fields -- 8.3 The Differential of a 1-Form -- Bibliography -- Index. |
| Record Nr. | UNISA-996466418903316 |
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Prasolov V. V (Viktor Vasilʹevich)
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Differential geometry / / Victor V. Prasolov
| Differential geometry / / Victor V. Prasolov |
| Autore | Prasolov V. V (Viktor Vasilʹevich) |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (278 pages) |
| Disciplina | 516.36 |
| Collana | Moscow Lectures |
| Soggetto topico |
Geometry, Differential
Geometria diferencial |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-92249-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Basic Notation -- Contents -- 1 Curves in the Plane -- 1.1 Curvature and the Frenet-Serret Formulas -- 1.2 Osculating Circles -- 1.3 The Total Curvature of a Closed Plane Curve -- 1.4 Four-Vertex Theorem -- 1.5 The Natural Equation of a Plane Curve -- 1.6 Whitney-Graustein Theorem -- 1.7 Tube Area and Steiner's Formula -- 1.8 The Envelope of a Family of Curves -- 1.9 Evolute and Involute -- 1.10 Isoperimetric Inequality -- 1.11 Affine Unimodular Differential Geometry -- 1.12 Projective Differential Geometry -- 1.13 The Measure of the Set of Lines Intersecting a Given Curve -- 1.14 Solutions of Problems -- 2 Curves in Space -- 2.1 Curvature and Torsion: The Frenet-Serret Formulas -- 2.2 An Osculating Plane -- 2.3 Total Curvature of a Closed Curve -- 2.4 Bertrand Curves -- 2.5 The Frenet-Serret Formulas in Many-Dimensional Space -- 2.6 Solutions of Problems -- 3 Surfaces in Space -- 3.1 The First Quadratic Form -- 3.2 The Darboux Frame of a Curve on a Surface -- 3.3 Geodesics -- 3.4 The Second Quadratic Form -- 3.5 Gaussian Curvature -- 3.6 Gaussian Curvature and Differential Forms -- 3.7 The Gauss-Bonnet Theorem -- 3.8 Christoffel Symbols -- 3.9 The Spherical Gauss Map -- 3.10 The Geodesic Equation -- 3.11 Parallel Transport Along a Curve -- 3.12 Covariant Differentiation -- 3.13 The Gauss and Codazzi-Mainardi Equations -- 3.14 Riemann Curvature Tensor -- 3.15 Exponential Map -- 3.16 Lines of Curvature and Asymptotic Lines -- 3.17 Minimal Surfaces -- 3.18 The First Variation Formula -- 3.19 The Second Variation Formula -- 3.20 Jacobi Vector Fields and Conjugate Points -- 3.21 Jacobi's Theorem on a Normal Spherical Image -- 3.22 Surfaces of Constant Gaussian Curvature -- 3.23 Rigidity (Unbendability) of the Sphere -- 3.24 Convex Surfaces: Hadamard's Theorem -- 3.25 The Laplace-Beltrami Operator -- 3.26 Solutions of Problems.
4 Hypersurfaces in Rn+1: Connections -- 4.1 The Weingarten Operator -- 4.2 Connections on Hypersurfaces -- 4.3 Geodesics on Hypersurfaces -- 4.4 Convex Hypersurfaces -- 4.5 Minimal Hypersurfaces -- 4.6 Steiner's Formula -- 4.7 Connections on Vector Bundles -- 4.8 Geodesics -- 4.9 The Curvature Tensor and the Torsion Tensor -- 4.10 The Curvature Matrix of a Connection -- 4.11 Solutions of Problems -- 5 Riemannian Manifolds -- 5.1 Levi-Cività Connection -- 5.2 Symmetries of the Riemann Tensor -- 5.3 Geodesics on Riemannian Manifolds -- 5.4 The Hopf-Rinow Theorem -- 5.5 The Existence of Complete Riemannian Metrics -- 5.6 Covariant Differentiation of Tensors -- 5.7 Sectional Curvature -- 5.8 Ricci Tensor -- 5.9 Riemannian Submanifolds -- 5.10 Totally Geodesic Submanifolds -- 5.11 Jacobi Fields and Conjugate Points -- 5.12 Product of Riemannian Manifolds -- 5.13 Holonomy -- 5.14 Commutator and Curvature -- 5.15 Solutions of Problems -- 6 Lie Groups -- 6.1 Lie Groups and Algebras -- 6.2 Adjoint Representation and the Killing Form -- 6.3 Connections and Metrics on Lie Groups -- 6.4 Maurer-Cartan Equations -- 6.5 Invariant Integration on a Compact Lie Group -- 6.6 Lie Derivative -- 6.7 Infinitesimal Isometries -- 6.8 Homogeneous Spaces -- 6.9 Symmetric Spaces -- 6.10 Solutions of Problems -- 7 Comparison Theorems, Curvature and Topology, and Laplacian -- 7.1 The Simplest Comparison Theorems -- 7.2 The Cartan-Hadamard Theorem -- 7.3 Manifolds of Positive Curvature -- 7.4 Manifolds of Constant Curvature -- 7.5 Laplace Operator -- 7.6 Solutions of Problems -- 8 Appendix -- 8.1 Differentiation of Determinants -- 8.2 Jacobi Identity for the Commutator of Vector Fields -- 8.3 The Differential of a 1-Form -- Bibliography -- Index. |
| Record Nr. | UNINA-9910544876403321 |
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Prasolov V. V (Viktor Vasilʹevich)
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Differential heterogenesis : mutant forms, sensitive bodies / / Alessandro Sarti, Giovanna Citti, David Piotrowski
| Differential heterogenesis : mutant forms, sensitive bodies / / Alessandro Sarti, Giovanna Citti, David Piotrowski |
| Autore | Sarti Alessandro |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (222 pages) |
| Disciplina | 516.36 |
| Collana | Lecture Notes in Morphogenesis |
| Soggetto topico |
Geometry, Differential
Geometria diferencial Generació espontània Física matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-97797-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Contents -- 1 Introduction -- 1.1 The Problematic Dimension of Becoming -- 1.2 From Structuralism to Post-structural Dynamics -- 1.3 The Weakening of Differential Constraints -- 1.4 Heterogenetic Morphodynamics -- 1.5 The Empirical Basins of Heterogenesis -- 1.6 The Emergence of Semiosis -- 1.7 Semiolinguistics -- 1.8 Towards an Extended Imaginative Plane -- 1.9 Organization of the Volume -- References -- 2 Elements of Morphodynamics -- 2.1 Individuation -- 2.1.1 Differential Becoming -- 2.2 Singularities -- 2.2.1 Poincaré Singularities -- 2.3 Structural Morphodynamics -- 2.3.1 Degenerate Critical Points and Thom's Catastrophe Theory -- 2.3.2 Dynamizing Saussure, Greimas, and Lévi-Strauss -- References -- 3 Multiplicity and Assemblages -- 3.1 Multiplicity -- 3.2 Riemannian Geometry -- 3.2.1 Manifolds -- 3.2.2 Charts -- 3.2.3 Atlas and Smooth Manifolds -- 3.2.4 The Tangent Plane at a Point -- 3.2.5 Metrics and Striated Manifolds -- 3.3 The Plane of Composition -- 3.4 Assemblages -- 3.5 Rhizomes -- 3.6 Machines -- 3.7 Towards New Geometries and Dynamics -- References -- 4 Differential Heterogenesis -- 4.1 Discussing Homogenesis -- 4.1.1 Geometric and Dynamic Heterogeneity -- 4.1.2 Beyond Mathematical Physics -- 4.1.3 Khronos and Aion -- 4.1.4 Mathematical Constructivism and Historical Contingency -- 4.1.5 Living and Perceptual Mutations -- 4.1.6 Negative Results -- 4.1.7 Against Homogenesis -- 4.2 Sub-Riemannian Geometric Multiplicity -- 4.2.1 Beyond Riemannian Geometry -- 4.2.2 Tangent Space and Admissible Tangent Space -- 4.2.3 Sub-Riemannian Manifolds and Vector Fields -- 4.2.4 Non-Commuting Vector Fields and Uncertainty Principle -- 4.2.5 The Sub-Riemannian Metric -- 4.2.6 The Connectivity Problem -- 4.2.7 Lifting the Geometry of the Space -- 4.3 Heterogeneous Dynamic Multiplicity -- 4.3.1 Differential Operators.
4.3.2 Sub-Riemannian Flows. Homogeneous Operators in an Heterogeneous Geometry -- 4.3.3 Heterogeneous Operators -- 4.3.4 Operators as Shapes -- 4.3.5 Lifting of Operators -- 4.4 Geometric and Dynamic Assemblages -- 4.4.1 Dynamic and Geometrical Lifting of a Multiplicity of Operators -- 4.4.2 Extension of the Operator Via Partition of the Unit -- 4.4.3 Heterogeneous Assemblage -- 4.4.4 Curve in the Space of Operators and Metamorphosis of Operators -- 4.5 The Heterogenetic Flow and Its Vibrational Modes: Plateaus -- 4.6 Multiplicity of Multiplicities -- References -- 5 Differential Cognitive Neuroscience -- 5.1 Neuromagma -- 5.2 Structures, Assemblages, and Plateaus of the Neuromagma -- 5.2.1 Neurogeometry -- 5.2.2 Operator Kernels -- 5.2.3 Brain Activity and Plateaus -- 5.2.4 Plateaus I: The Formemes of Plastic Forms -- 5.2.5 Plateaus II: Perceptual Grouping -- 5.2.6 Plateaus III: Hallucinations -- 5.3 Strata: Modal and Amodal Completion -- 5.4 Composition-Actualization of Percepts -- 5.4.1 The Four Stages of the Constitution of Plastic Morphologies -- 5.5 Embodied, Embedded, Enactive, Extended Cognition -- 5.5.1 Embodied Plasticity: Saliences and Pregnancies -- 5.5.2 Extended Cognition -- 5.6 Imagination and Insight -- 5.7 Metamorphosis -- References -- 6 Expression and Semiogenesis -- 6.1 Problematic Landscape -- 6.2 The Problem of Expression -- 6.2.1 The Expressive Phenomenon -- 6.2.2 A Community of Views -- 6.2.3 Shared Difficulties -- 6.2.4 The Semiotic Function -- 6.2.5 Saussure -- 6.2.6 Hjelmslev -- 6.2.7 Husserl -- 6.2.8 Discussion -- 6.2.9 Peirce -- 6.2.10 Eco/Hjelmslev -- 6.2.11 Eco/Peirce -- 6.2.12 Fontanille -- 6.2.13 Conclusion -- 6.3 The Merleau-Pontian Solution: Toward Heterogenesis -- 6.3.1 The Problem of Solicitations -- 6.3.2 The Elaboration of Stimuli -- 6.3.3 Concrete/Abstract -- 6.3.4 Interior Relationships. 6.3.5 Transition and Conjectures -- 6.3.6 Solicitations -- 6.3.7 Heterogenesis: From Sollicitation to Cosubstantiality -- 6.4 A Convergent Argument -- 6.4.1 Overview -- 6.4.2 From Expression to Speech: The Problem -- 6.4.3 From Speech as Gesture to the First Speech -- 6.4.4 The Differential Foundation of the First Speech -- 6.4.5 From Expression to Speech: Outline of a Heterogenetic Solution -- 6.5 A Necessary Overreach -- 6.5.1 Recalls -- 6.5.2 Problematical Opening -- 6.6 Inner Relations: Problems and Possible Solution -- 6.6.1 Problems -- 6.6.2 Possible Solution -- 6.7 On the Constitution of the Sign -- 6.7.1 Morphodynamics of the Saussurean Sign -- 6.7.2 The Autotransgression of the Semiotic -- 6.7.3 Conclusion -- References -- 7 Chiusa: Morphodynamic Poetry -- 7.1 Individuation Between Potency and Form -- 7.2 Disentaglement: Composition Versus Maximization -- 7.3 Mutant Sensibilities -- 7.4 The Letter of the Seer -- References -- 8 Plates -- Subject Index -- Author Index. |
| Record Nr. | UNISA-996483154703316 |
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Sarti Alessandro
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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