A course of differential geometry and topology / A. Mishchenko and A. Fomenko |
Autore | Mishchenko, Aleksandr Sergeevich |
Pubbl/distr/stampa | Moscow : Mir Publishers, 1988 |
Descrizione fisica | 455 p. : ill. ; 23 cm |
Disciplina | 514.7 |
Altri autori (Persone) | Fomenko, A. T. |
Soggetto topico |
Geometry, Differential
Topology |
Classificazione |
LC QA641.M5313
AMS 53-01 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991002796299707536 |
Mishchenko, Aleksandr Sergeevich | ||
Moscow : Mir Publishers, 1988 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Curvature : a variational approach / / A. Agrachev, D. Barilari, L. Rizzi |
Autore | Agrachev A. |
Pubbl/distr/stampa | Providence, RI : , : American Mathematical Society, , [2018] |
Descrizione fisica | 1 online resource (v, 142 pages) |
Disciplina | 516.362 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Curvature
Riemannian manifolds Geometry, Differential |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-4913-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910479865203321 |
Agrachev A. | ||
Providence, RI : , : American Mathematical Society, , [2018] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Curvature : a variational approach / / A. Agrachev, D. Barilari, L. Rizzi |
Autore | Agrachev A. |
Pubbl/distr/stampa | Providence, RI : , : American Mathematical Society, , [2018] |
Descrizione fisica | 1 online resource (v, 142 pages) |
Disciplina | 516.362 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Curvature
Riemannian manifolds Geometry, Differential |
ISBN | 1-4704-4913-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910793321403321 |
Agrachev A. | ||
Providence, RI : , : American Mathematical Society, , [2018] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Curvature : a variational approach / / A. Agrachev, D. Barilari, L. Rizzi |
Autore | Agrachev A. |
Pubbl/distr/stampa | Providence, RI : , : American Mathematical Society, , [2018] |
Descrizione fisica | 1 online resource (v, 142 pages) |
Disciplina | 516.362 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Curvature
Riemannian manifolds Geometry, Differential |
ISBN | 1-4704-4913-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910816973603321 |
Agrachev A. | ||
Providence, RI : , : American Mathematical Society, , [2018] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Curvature and Betti Numbers. (AM-32), Volume 32 / / Kentaro Yano, Salomon Trust |
Autore | Trust Salomon |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (205 pages) |
Disciplina |
513.7
516.7* |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Curvature
Geometry, Differential |
Soggetto non controllato |
Abelian integral
Affine connection Algebraic operation Almost periodic function Analytic function Arc length Betti number Coefficient Compact space Complex analysis Complex conjugate Complex dimension Complex manifold Conservative vector field Constant curvature Constant function Continuous function Convex set Coordinate system Covariance and contravariance of vectors Covariant derivative Curvature Derivative Differential form Differential geometry Dimension (vector space) Dimension Einstein manifold Equation Euclidean domain Euclidean geometry Euclidean space Existential quantification Geometry Hausdorff space Hypersphere Killing vector field Kähler manifold Lie group Manifold Metric tensor (general relativity) Metric tensor Mixed tensor One-parameter group Orientability Partial derivative Periodic function Permutation Quantity Ricci curvature Riemannian manifold Scalar (physics) Sectional curvature Self-adjoint Special case Subset Summation Symmetric tensor Symmetrization Tensor algebra Tensor calculus Tensor field Tensor Theorem Torsion tensor Two-dimensional space Uniform convergence Uniform space Unit circle Unit sphere Unit vector Vector field |
ISBN | 1-4008-8220-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter I. Riemannian Manifold -- Chapter II. Harmonic and Killing Vectors -- Chapter III. Harmonic and Killing Tensors -- Chapter IV. Harmonic and Killing Tensors in Flat Manifolds -- Chapter V. Deviation from Flatness -- Chapter VI. Semi-simple Group Spaces -- Chapter VII. Pseudo-harmonic Tensors and Pseudo-Killing Tensors in Metric Manifolds with Torsion -- Chapter VIII. Kaehler Manifold -- Chapter IX. Supplements / Bochner, S. -- Bibliography -- Backmatter |
Record Nr. | UNINA-9910154748603321 |
Trust Salomon | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Deformation theory of pseudogroup structures / / by Victor Guillemin and Shlomo Sternberg |
Autore | Guillemin Victor <1937-> |
Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1966 |
Descrizione fisica | 1 online resource (90 p.) |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Geometry, Differential
Group theory |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0011-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Â1. Introduction""; ""Â2. The language of jets""; ""Â3. The axioms on âŒ?""; ""Â4. The fundamental form""; ""Â5. The structural equation""; ""Â6. The second fundamental theorem""; ""Â7. Pseudogroup structures""; ""Â8. Deformations of âŒ?-structures""; ""Â9. The Spencer sequence""; ""Â10. An interpretation of the Spencer sequence in the special case of deformation theory""; ""Â11. Applications of the Spencer resolution to deformation theory""; ""Â12. Further remarks on deformation theory""; ""Â13. Almost structures""; ""Â14. Elliptic pseudogroups, the flat case""
""Â15. Elliptic pseudogroups in general""""Â16. The (second) Spencer sequence""; ""References"" |
Record Nr. | UNINA-9910480694903321 |
Guillemin Victor <1937-> | ||
Providence : , : American Mathematical Society, , 1966 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Deformation theory of pseudogroup structures / / by Victor Guillemin and Shlomo Sternberg |
Autore | Guillemin Victor <1937-> |
Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1966 |
Descrizione fisica | 1 online resource (90 p.) |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Geometry, Differential
Group theory |
ISBN | 1-4704-0011-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Â1. Introduction""; ""Â2. The language of jets""; ""Â3. The axioms on âŒ?""; ""Â4. The fundamental form""; ""Â5. The structural equation""; ""Â6. The second fundamental theorem""; ""Â7. Pseudogroup structures""; ""Â8. Deformations of âŒ?-structures""; ""Â9. The Spencer sequence""; ""Â10. An interpretation of the Spencer sequence in the special case of deformation theory""; ""Â11. Applications of the Spencer resolution to deformation theory""; ""Â12. Further remarks on deformation theory""; ""Â13. Almost structures""; ""Â14. Elliptic pseudogroups, the flat case""
""Â15. Elliptic pseudogroups in general""""Â16. The (second) Spencer sequence""; ""References"" |
Record Nr. | UNINA-9910788602503321 |
Guillemin Victor <1937-> | ||
Providence : , : American Mathematical Society, , 1966 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Deformation theory of pseudogroup structures / / by Victor Guillemin and Shlomo Sternberg |
Autore | Guillemin Victor <1937-> |
Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1966 |
Descrizione fisica | 1 online resource (90 p.) |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Geometry, Differential
Group theory |
ISBN | 1-4704-0011-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Â1. Introduction""; ""Â2. The language of jets""; ""Â3. The axioms on âŒ?""; ""Â4. The fundamental form""; ""Â5. The structural equation""; ""Â6. The second fundamental theorem""; ""Â7. Pseudogroup structures""; ""Â8. Deformations of âŒ?-structures""; ""Â9. The Spencer sequence""; ""Â10. An interpretation of the Spencer sequence in the special case of deformation theory""; ""Â11. Applications of the Spencer resolution to deformation theory""; ""Â12. Further remarks on deformation theory""; ""Â13. Almost structures""; ""Â14. Elliptic pseudogroups, the flat case""
""Â15. Elliptic pseudogroups in general""""Â16. The (second) Spencer sequence""; ""References"" |
Record Nr. | UNINA-9910811898303321 |
Guillemin Victor <1937-> | ||
Providence : , : American Mathematical Society, , 1966 | ||
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] |
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] |
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 | ||
|