Comparison Geometry (Paperback)

Karsten Grove

ISBN 10: 052108945X / ISBN 13: 9780521089456

Published by Cambridge University Press, Cambridge, 2008

About this Item

Paperback. 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. 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. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780521089456

Bibliographic Details

• Title: Comparison Geometry (Paperback)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2008
• Language: English
• ISBN 10: 052108945X
• ISBN 13: 9780521089456
• Binding: Paperback
• Condition: new

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.