The Ricci Flow in Riemannian Geometry
The Ricci Flow in Riemannian Geometry
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DOI：
10.1007/978-3-642-16286-2
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
B. Andrews;Christopher Hopper
中科院分区：
文献类型：
--
作者：
B. Andrews;Christopher Hopper
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.
