Riemannian geometry / Wilhelm P. A. Klingenberg
Contributor(s): Resource type: Ressourcentyp: BuchBookLanguage: English Series: De Gruyter studies in mathematics ; 1Publisher: Berlin ; New York : W. de Gruyter, 1995Edition: 2., rev. edDescription: X, 409 S : graph. DarstISBN:- 3110145936
- 516.3/73
- QA649
Contents:
Summary: Ch. 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 -- Ch. 2. Curvature and Topology. 2.1. Completeness and Cut Locus -- 2.1. Appendix - Orientation. 2.2. Symmetric Spaces. 2.3. The Hilbert Manifold of H[superscript 1]-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 S[Superscript 1]- and the Z[subscript 2]-action on [lambda]M. 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 CurvatureCall number: Grundsignatur: 82 E 514(2)PPN: PPN: 18163967X
Item type | Home library | Collection | Shelving location | Call number | Status | Date due | Barcode | Item holds | |
---|---|---|---|---|---|---|---|---|---|
Freihandbestand ausleihbar | Bibliothek Campus Süd | math 4.30 | Lesesaal Technik (LST) | 82 E 514(2) | Available | 44926263090 | |||
Freihandbestand ausleihbar | Fachbibliothek Mathematik | Bibliothek / frei aufgestellt | Geom. / Kli | Available | 36219149090 |
Total holds: 0