**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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