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.
A course of differential geometry and topology / A. Mishchenko and A. Fomenko
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
Opac: Controlla la disponibilità qui
Curvature : a variational approach / / A. Agrachev, D. Barilari, L. Rizzi
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
Opac: Controlla la disponibilità qui
Curvature : a variational approach / / A. Agrachev, D. Barilari, L. Rizzi
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
Opac: Controlla la disponibilità qui
Curvature : a variational approach / / A. Agrachev, D. Barilari, L. Rizzi
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
Opac: Controlla la disponibilità qui
Curvature and Betti Numbers. (AM-32), Volume 32 / / Kentaro Yano, Salomon Trust
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
Opac: Controlla la disponibilità qui
Deformation theory of pseudogroup structures / / by Victor Guillemin and Shlomo Sternberg
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
Opac: Controlla la disponibilità qui
Deformation theory of pseudogroup structures / / by Victor Guillemin and Shlomo Sternberg
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
Opac: Controlla la disponibilità qui
Deformation theory of pseudogroup structures / / by Victor Guillemin and Shlomo Sternberg
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
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

Data di pubblicazione

Altro...