The Ricci Flow In Riemannian Geometry
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The Ricci Flow in Riemannian Geometry
Author | : Ben Andrews |
Publisher | : Springer Science & Business Media |
Total Pages | : 306 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 3642162851 |
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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.