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Riemannian geometry / Wilhelm P. A. Klingenberg

By: 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
Subject(s): Additional physical formats: Online-Ausg.: Riemannian Geometry. 2nd rev. ed. Berlin ;New York : W. de Gruyter, 2011. Online-Ressource (x, 409 p) | Erscheint auch als: Riemannian Geometry. Online-Ausgabe 2nd ed. Berlin/Boston : De Gruyter, Inc., 2011. 1 online resource (419 pages)DDC classification:
  • 516.3/73
MSC: MSC: *53C20 | 53-02 | 37D40 | 53D25 | 58E10 | 53C22RVK: RVK: SK 370LOC classification:
  • 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
Holdings
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

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