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The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem PDF

321 Pages·2011·2.269 MB·English
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by Ben Andrews, Christopher Hopper (auth.)| 2011| 321 pages| 2.269| English

About The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem

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 Böhm and Wilking and Brendle and Schoen have led to a proof of the differentiable 1/4-pinching sphere theorem.

Detailed Information

Author:Ben Andrews, Christopher Hopper (auth.)
Publication Year:2011
ISBN:9783642162855
Pages:321
Language:English
File Size:2.269
Format:PDF
Price:FREE
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