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

Grove, Karsten [Editor]; Petersen, Peter [Editor];

ISBN 10: 0521592224 / ISBN 13: 9780521592222

Published by Cambridge University Press, 1997

About this Item

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Bibliographic Details

• Title: Comparison Geometry (Mathematical Sciences Research Institute Publications, Series Number 30)
• Publisher: Cambridge University Press
• Publication Date: 1997
• Language: English
• ISBN 10: 0521592224
• ISBN 13: 9780521592222
• Binding: hardcover
• Condition: New
• Weight: 20 ounces

About this title

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.

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.