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|a QA649
|b .K544 1995eb
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|2 20
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|a UAMI
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|a Klingenberg, Wilhelm,
|d 1924-2010.
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245 |
1 |
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|a Riemannian geometry /
|c Wilhelm P.A. Klingenberg.
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250 |
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|a 2nd rev. ed.
|
260 |
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|a Berlin ;
|a New York :
|b W. de Gruyter,
|c 1995.
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300 |
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|a 1 online resource (x, 409 pages) :
|b illustrations
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336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
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|a data file
|2 rda
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1 |
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|a De Gruyter studies in mathematics ;
|v 1
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504 |
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|a Includes bibliographical references (pages 393-402) and index.
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|a 2.4 The Loop Space and the Space of Closed Curves2.5 The Second Order Neighborhood of a Critical Point; 2.5 Appendix -- The S1- and the Z2-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.
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|a 3.7 The Theorem of the Three Closed Geodesics3.8 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.
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|a 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.
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520 |
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|a Riemannian Geometry (Degruyter Studies in Mathematics).
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590 |
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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650 |
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|a Geometry, Riemannian.
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650 |
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|a Geometry, Differential.
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650 |
|
6 |
|a Géométrie de Riemann.
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650 |
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6 |
|a Géométrie différentielle.
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650 |
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|a MATHEMATICS
|x Geometry
|x Analytic.
|2 bisacsh
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650 |
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7 |
|a Geometry, Differential.
|2 fast
|0 (OCoLC)fst00940919
|
650 |
|
7 |
|a Geometry, Riemannian.
|2 fast
|0 (OCoLC)fst00940940
|
776 |
0 |
8 |
|i Print version:
|a Klingenberg, Wilhelm, 1924-2010.
|t Riemannian geometry.
|b 2nd rev. ed.
|d Berlin ; New York : W. de Gruyter, 1995
|w (DLC) 95002589
|
830 |
|
0 |
|a De Gruyter studies in mathematics ;
|v 1.
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