| Title | : | The Ricci Flow in Riemannian Geometry |
|---|---|---|
| Author | : | Ben Andrews & Christopher Hopper |
| Release | : | 2010-11-09 |
| Kind | : | ebook |
| Genre | : | Mathematics, Books, Science & Nature |
| Size | : | 21706899 |
| 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. |
