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

Hardcover

ISBN 10: 0521592224 ISBN 13: 9780521592222

Publisher: Cambridge University Press, 1997

Synopsis

This book documents the 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 of late. This volume is an up-to-date reflection of the recent development regarding spaces with lower (or two-sided) curvature bounds. The content of the volume 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. Both survey and research articles are featured. Complete proofs are often provided, and 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.

About this title

Review

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

Book Description

This book considers a branch of Riemannian geometry called Comparison Geometry. Comparing the geometry of an arbitrary Riemannian manifold with the geometries of constant curvature spaces has recently received great attention. This is an up-to-date reflection of developments in this field.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1997
• Language: English
• ISBN 10: 0521592224
• ISBN 13: 9780521592222
• Binding: Hardcover
• Edition number: 1
• Number of pages: 276
• Editor: Grove Karsten, Petersen Peter