Comparison Geometry by Karsten Grove, Peter Petersen
Publisher: Cambridge University Press 1997
ISBN/ASIN: 052108945X
ISBN-13: 9780521089456
Number of pages: 262
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.
Mathematics Geometry & Topology Differential Geometry