书目名称 | The Ricci Flow in Riemannian Geometry |
副标题 | A Complete Proof of |
编辑 | Ben Andrews,Christopher Hopper |
视频video | |
概述 | A self contained presentation of the proof of the differentiable sphere theorem.A presentation of the geometry of vector bundles in a form suitable for geometric PDE.A discussion of the history of the |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | 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. |
出版日期 | Book 2011 |
关键词 | 35-XX, 53-XX, 58-XX; Ricci flow; Riemannian geometry; Sphere theorem; partial differential equations |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-16286-2 |
isbn_softcover | 978-3-642-16285-5 |
isbn_ebook | 978-3-642-16286-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 2011 |