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Comparison Theorems in Riemannian Geometry

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ISBN-10: 0821844172

ISBN-13: 9780821844175

Edition: 2008

Authors: Jeffrey Cheeger, David G. Ebin, American Mathematical Society Staff

List price: $42.00
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The central theme of this book is the interaction between the curvature of a complete Riemannian manifold and its topology and global geometry.
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Book details

List price: $42.00
Copyright year: 2008
Publisher: American Mathematical Society
Publication date: 4/30/2008
Binding: Hardcover
Pages: 161
Size: 7.25" wide x 10.25" long x 0.50" tall
Weight: 1.034
Language: English

Basic concepts and results Toponogov's theorem Homogeneous spaces
Morse theory Closed geodesics and the cut locus
The sphere theorem and its generalizations
The differentiable sphere theorem Complete manifolds of nonnegative curvature
Compact manifolds of nonpositive curvature
Bibliography Additional