Comparison geometry
By: edited by Karsten Grove, Peter Petersen.
Contributors: Grove, Karsten.; Petersen, Peter, 1962-
Series: Mathematical Sciences Research Institute publications ;; 30
Publisher: Cambridge University Press
Published: 1997
Place of publication: Cambridge [England]; New York
Language: eng
Number of pages: 262
Subjects: Spaces of constant curvature.; Riemannian manifolds.; Geometry, Riemannian.
Description: Comparison Geometry asks: What can we say about a Riemannian manifold if we know a (lower or upper) bound for its curvature, and perhaps something about its topology?

This volume, arising from a 1994 MSRI program, 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. This volume will be a valuable source for researchers and graduate students in Riemannian Geometry.
Notes: Includes bibliographical references.