Title: The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem (Lecture Notes in Mathematics)
Publisher: Springer 2010-11-25
Publication Date: 2010
Language: English
ISBN 10: 3642162851
ISBN 13: 9783642162855
Binding: Paperback
Condition: New

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Synopsis

This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required aspects of differential geometry, progressing through existence and regularity theory, compactness theorems for Riemannian manifolds, and Perelman's noncollapsing results, and culminating in a detailed analysis of the evolution of curvature, where recent breakthroughs of B�hm and Wilking and Brendle and Schoen have led to a proof of the differentiable 1/4-pinching sphere theorem.

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