Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series)

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Peter Topping 作者
Cambridge University Press
譯者
2006-11-06 出版日期
113 頁數
USD 45.00 價格
Paperback
London Mathematical Society Lecture Note Series 叢書系列
9780521689472 圖書編碼

Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) 在線電子書 圖書標籤: the  on  Ricci  Lectures  Flow  數學  微分幾何7   


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Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) 在線電子書 著者簡介


Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) 在線電子書 著者簡介


Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) 在線電子書 圖書描述

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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