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Riemannian geometry [[electronic resource] /] / Wilhelm P.A. Klingenberg
| Riemannian geometry [[electronic resource] /] / Wilhelm P.A. Klingenberg |
| Autore | Klingenberg Wilhelm <1924-2010.> |
| Edizione | [2nd rev. ed.] |
| Pubbl/distr/stampa | Berlin ; ; New York, : W. de Gruyter, 1995 |
| Descrizione fisica | 1 online resource (420 p.) |
| Disciplina | 516.3/73 |
| Collana | De Gruyter Studies in Mathematics |
| Soggetto topico |
Geometry, Riemannian
Geometry, Differential |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-090512-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Chapter 1: Foundations. -- 1.0 Review of Differential Calculus and Topology -- 1.1 Differentiable Manifolds -- 1.2 Tensor Bundles -- 1.3 Immersions and Submersions -- 1.4 Vector Fields and Tensor Fields -- 1.5 Covariant Derivation -- 1.6 The Exponential Mapping -- 1.7 Lie Groups -- 1.8 Riemannian Manifolds -- 1.9 Geodesics and Convex Neighborhoods -- 1.10 Isometric Immersions -- 1.11 Riemannian Curvature -- 1.12 Jacobi Fields -- Chapter 2: Curvature and Topology. -- 2.1 Completeness and Cut Locus -- 2.1 Appendix - Orientation -- 2.2 Symmetric Spaces -- 2.3 The Hilbert Manifold of H1-curves -- 2.4 The Loop Space and the Space of Closed Curves -- 2.5 The Second Order Neighborhood of a Critical Point -- 2.5 Appendix - The S1- and the Ζ2-action on AM -- 2.6 Index and Curvature -- 2.6 Appendix - The Injectivity Radius for 1/4-pinched Manifolds -- 2.7 Comparison Theorems for Triangles -- 2.8 The Sphere Theorem -- 2.9 Non-compact Manifolds of Positive Curvature -- Chapter 3: Structure of the Geodesic Flow. -- 3.1 Hamiltonian Systems -- 3.2 Properties of the Geodesic Flow -- 3.3 Stable and Unstable Motions -- 3.4 Geodesics on Surfaces -- 3.5 Geodesics on the Ellipsoid -- 3.6 Closed Geodesies on Spheres -- 3.7 The Theorem of the Three Closed Geodesics -- 3.8 Manifolds of Non-Positive Curvature -- 3.9 The Geodesic Flow on Manifolds of Negative Curvature -- 3.10 The Main Theorem for Surfaces of Genus 0 -- References -- Index |
| Record Nr. | UNINA-9910462028403321 |
Klingenberg Wilhelm <1924-2010.>
|
||
| Berlin ; ; New York, : W. de Gruyter, 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Riemannian geometry [[electronic resource] /] / Wilhelm P.A. Klingenberg
| Riemannian geometry [[electronic resource] /] / Wilhelm P.A. Klingenberg |
| Autore | Klingenberg Wilhelm <1924-2010.> |
| Edizione | [2nd rev. ed.] |
| Pubbl/distr/stampa | Berlin ; ; New York, : W. de Gruyter, 1995 |
| Descrizione fisica | 1 online resource (420 p.) |
| Disciplina | 516.3/73 |
| Collana | De Gruyter Studies in Mathematics |
| Soggetto topico |
Geometry, Riemannian
Geometry, Differential |
| ISBN | 3-11-090512-4 |
| Classificazione | SK 370 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Chapter 1: Foundations. -- 1.0 Review of Differential Calculus and Topology -- 1.1 Differentiable Manifolds -- 1.2 Tensor Bundles -- 1.3 Immersions and Submersions -- 1.4 Vector Fields and Tensor Fields -- 1.5 Covariant Derivation -- 1.6 The Exponential Mapping -- 1.7 Lie Groups -- 1.8 Riemannian Manifolds -- 1.9 Geodesics and Convex Neighborhoods -- 1.10 Isometric Immersions -- 1.11 Riemannian Curvature -- 1.12 Jacobi Fields -- Chapter 2: Curvature and Topology. -- 2.1 Completeness and Cut Locus -- 2.1 Appendix - Orientation -- 2.2 Symmetric Spaces -- 2.3 The Hilbert Manifold of H1-curves -- 2.4 The Loop Space and the Space of Closed Curves -- 2.5 The Second Order Neighborhood of a Critical Point -- 2.5 Appendix - The S1- and the Ζ2-action on AM -- 2.6 Index and Curvature -- 2.6 Appendix - The Injectivity Radius for 1/4-pinched Manifolds -- 2.7 Comparison Theorems for Triangles -- 2.8 The Sphere Theorem -- 2.9 Non-compact Manifolds of Positive Curvature -- Chapter 3: Structure of the Geodesic Flow. -- 3.1 Hamiltonian Systems -- 3.2 Properties of the Geodesic Flow -- 3.3 Stable and Unstable Motions -- 3.4 Geodesics on Surfaces -- 3.5 Geodesics on the Ellipsoid -- 3.6 Closed Geodesies on Spheres -- 3.7 The Theorem of the Three Closed Geodesics -- 3.8 Manifolds of Non-Positive Curvature -- 3.9 The Geodesic Flow on Manifolds of Negative Curvature -- 3.10 The Main Theorem for Surfaces of Genus 0 -- References -- Index |
| Record Nr. | UNINA-9910785830803321 |
|
Klingenberg Wilhelm <1924-2010.>
|
||
| Berlin ; ; New York, : W. de Gruyter, 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Riemannian geometry [[electronic resource] /] / Wilhelm P.A. Klingenberg
| Riemannian geometry [[electronic resource] /] / Wilhelm P.A. Klingenberg |
| Autore | Klingenberg Wilhelm <1924-2010.> |
| Edizione | [2nd rev. ed.] |
| Pubbl/distr/stampa | Berlin ; ; New York, : W. de Gruyter, 1995 |
| Descrizione fisica | 1 online resource (420 p.) |
| Disciplina | 516.3/73 |
| Collana | De Gruyter Studies in Mathematics |
| Soggetto topico |
Geometry, Riemannian
Geometry, Differential |
| ISBN | 3-11-090512-4 |
| Classificazione | SK 370 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Chapter 1: Foundations. -- 1.0 Review of Differential Calculus and Topology -- 1.1 Differentiable Manifolds -- 1.2 Tensor Bundles -- 1.3 Immersions and Submersions -- 1.4 Vector Fields and Tensor Fields -- 1.5 Covariant Derivation -- 1.6 The Exponential Mapping -- 1.7 Lie Groups -- 1.8 Riemannian Manifolds -- 1.9 Geodesics and Convex Neighborhoods -- 1.10 Isometric Immersions -- 1.11 Riemannian Curvature -- 1.12 Jacobi Fields -- Chapter 2: Curvature and Topology. -- 2.1 Completeness and Cut Locus -- 2.1 Appendix - Orientation -- 2.2 Symmetric Spaces -- 2.3 The Hilbert Manifold of H1-curves -- 2.4 The Loop Space and the Space of Closed Curves -- 2.5 The Second Order Neighborhood of a Critical Point -- 2.5 Appendix - The S1- and the Ζ2-action on AM -- 2.6 Index and Curvature -- 2.6 Appendix - The Injectivity Radius for 1/4-pinched Manifolds -- 2.7 Comparison Theorems for Triangles -- 2.8 The Sphere Theorem -- 2.9 Non-compact Manifolds of Positive Curvature -- Chapter 3: Structure of the Geodesic Flow. -- 3.1 Hamiltonian Systems -- 3.2 Properties of the Geodesic Flow -- 3.3 Stable and Unstable Motions -- 3.4 Geodesics on Surfaces -- 3.5 Geodesics on the Ellipsoid -- 3.6 Closed Geodesies on Spheres -- 3.7 The Theorem of the Three Closed Geodesics -- 3.8 Manifolds of Non-Positive Curvature -- 3.9 The Geodesic Flow on Manifolds of Negative Curvature -- 3.10 The Main Theorem for Surfaces of Genus 0 -- References -- Index |
| Record Nr. | UNINA-9910823360103321 |
|
Klingenberg Wilhelm <1924-2010.>
|
||
| Berlin ; ; New York, : W. de Gruyter, 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||