top

  Info

  • Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.

  Info

  • Utilizzare questo link per rimuovere la selezione effettuata.
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->  
Singapore : , : Springer Nature Singapore : , : Imprint : Birkhäuser, , 2023
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Prasolov V. V (Viktor Vasilʹevich)  
Cham, Switzerland : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
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
Prasolov V. V (Viktor Vasilʹevich)  
Cham, Switzerland : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Sarti Alessandro  
Cham, Switzerland : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
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. UNINA-9910584478703321
Sarti Alessandro  
Cham, Switzerland : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Geometric analysis on real analytic manifolds / / Andrew D. Lewis
Geometric analysis on real analytic manifolds / / Andrew D. Lewis
Autore Lewis Andrew D.
Pubbl/distr/stampa Cham : , : Springer, , [2023]
Descrizione fisica 1 online resource (323 pages)
Disciplina 514.74
Collana Lecture notes in mathematics
Soggetto topico Global analysis (Mathematics)
Manifolds (Mathematics)
Geometry, Differential
Global Analysis and Analysis on Manifolds
Differential Geometry
Anàlisi global (Matemàtica)
Varietats (Matemàtica)
Geometria diferencial
Soggetto genere / forma Llibres electrònics
ISBN 3-031-37913-6
9783031379130
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910760264803321
Lewis Andrew D.  
Cham : , : Springer, , [2023]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui