Comparison Geometry

By: Karsten Grove (Editor), Peter Petersen (Editor), Silvio Levy (Editor)

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Hardcover | 13 October 1997

At a Glance

Hardcover
276 Pages

Dimensions(cm)
23.39 x 15.6 x 1.75

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

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Non-Fiction Mathematics Geometry Differential & Riemannian Geometry Topology

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Paperback

Published: 6th November 2008

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Scalar curvature and geometrization conjectures for 3-manifolds
Injectivity radius estimates and sphere theorems
Aspects of Ricci curvature
A genealogy of noncompact manifolds of nonnegative curvature: history and logic
Differential geometric aspects of Alexandrov spaces
Convergence theorems in Riemannian geometry
The comparison geometry of Ricci curvature
Construction of manifolds of positive Ricci curvature with big volume and large Betti numbers
Collapsing with no proper extremal subsets
Example of a complete Riemannian manifold of positive Ricci curvature with Euclidean volume growth and with nonunique asymptotic cone
Applications of quasigeodesics and gradient curves
Table of Contents provided by Publisher. All Rights Reserved.

Comparison Geometry

At a Glance

Hardcover

Industry Reviews

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How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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