Comparison Geometry (Mathematical Sciences Research Institute Publications, Series Number 30) - Hardcover

 
9780521592222: Comparison Geometry (Mathematical Sciences Research Institute Publications, Series Number 30)

Synopsis

This book documents the recent focus on a branch of Riemannian geometry called Comparison Geometry. The simple idea of comparing the geometry of an arbitrary Riemannian manifold with the geometries of constant curvature spaces has seen a tremendous evolution recently. This volume is an up-to-date reflection of the recent development regarding spaces with lower (or two-sided) curvature bounds. The content reflects some of the most exciting activities in comparison geometry during the year and especially of the Mathematical Sciences Research Institute's workshop devoted to the subject. This volume features both survey and research articles. It also provides complete proofs: in one case, a new, unified strategy is presented and new proofs are offered. This volume will be a valuable source for advanced researchers and those who wish to learn about and contribute to this beautiful subject.

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Book Description

This book documents the recent focus on a branch of Riemannian geometry called Comparison Geometry. The idea of comparing the geometry of an arbitrary Riemannian manifold with the geometries of constant curvature spaces has seen a tremendous evolution of late. This volume is an up to date reflection of the recent development regarding spaces with lower or two-sided curvature bounds. It was developed from the Mathematical Sciences Research Institute's workshop devoted to the subject, and features both survey and research articles.

Review

Review of the hardback: '... a beautiful, comprehensive and up-to-date collection of expository experts in the field.' European Mathematical Society

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Other Popular Editions of the Same Title

9780521089456: Comparison Geometry (Mathematical Sciences Research Institute Publications, Series Number 30)

Featured Edition

ISBN 10:  052108945X ISBN 13:  9780521089456
Publisher: Cambridge University Press, 2008
Softcover