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- catalog contributor b8127807.
- catalog created "1995.".
- catalog date "1995".
- catalog date "1995.".
- catalog dateCopyrighted "1995.".
- catalog description "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 Curvature.".
- catalog description "Includes bibliographical references (p.[393]-402) and index.".
- catalog extent "x, 409 p. ;".
- catalog identifier "3110145936 (acid-free)".
- catalog isPartOf "De Gruyter studies in mathematics ; 1".
- catalog issued "1995".
- catalog issued "1995.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : W. de Gruyter,".
- catalog subject "516.3/73 20".
- catalog subject "Geometry, Riemannian.".
- catalog subject "QA649 .K544 1995".
- catalog tableOfContents "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 Curvature.".
- catalog title "Riemannian geometry / Wilhelm P.A. Klingenberg.".
- catalog type "text".