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Comparison Geometry

Comparison Geometry
by Karsten Grove, Peter Petersen

Publisher: Cambridge University Press 1997
ISBN/ASIN: 052108945X
ISBN-13: 9780521089456
Number of pages: 262

Description:
Comparison Geometry asks: What can we say about a Riemannian manifold if we know a bound for its curvature, and perhaps something about its topology? This volume is an up-to-date panorama of Comparison Geometry, featuring surveys and new research. Surveys present classical and recent results, and often include complete proofs, in some cases involving a new and unified approach. The historical evolution of the subject is summarized in charts and tables of examples.

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