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Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series)
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简体网页||繁体网页
Peter Topping 作者
Cambridge University Press
译者
2006-11-06 出版日期
113 页数
USD 45.00 价格
Paperback
London Mathematical Society Lecture Note Series 丛书系列
9780521689472 图书编码

Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) 在线电子书 图书标签: the  on  Ricci  Lectures  Flow  数学  微分几何7   

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发表于2024-11-08

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Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024


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Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) 在线电子书 著者简介

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Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) 在线电子书 图书描述

Hamilton's Ricci flow has attracted considerable attention since its introduction in 1982, owing partly to its promise in addressing the Poincaré conjecture and Thurston's geometrization conjecture. This book gives a concise introduction to the subject with the hindsight of Perelman's breakthroughs from 2002/2003. After describing the basic properties of, and intuition behind the Ricci flow, core elements of the theory are discussed such as consequences of various forms of maximum principle, issues related to existence theory, and basic properties of singularities in the flow. A detailed exposition of Perelman's entropy functionals is combined with a description of Cheeger-Gromov-Hamilton compactness of manifolds and flows to show how a 'tangent' flow can be extracted from a singular Ricci flow. Finally, all these threads are pulled together to give a modern proof of Hamilton's theorem that a closed three-dimensional manifold which carries a metric of positive Ricci curvature is a spherical space form.

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