The Ricci Flow in Riemannian Geometry
A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem| By: | Ben Andrews; Christopher Hopper |
| Publisher: | Springer Nature |
| Print ISBN: | 9783642162855 |
| eText ISBN: | 9783642162862 |
| Edition: | 0 |
| Copyright: | 2011 |
| Format: | Page Fidelity |
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Table of Contents
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.