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

Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series)
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发表于2024-11-29

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

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

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


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出版者:Cambridge University Press
作者:Peter Topping
出品人:
页数:113
译者:
出版时间:2006-11-06
价格:USD 45.00
装帧:Paperback
isbn号码:9780521689472
丛书系列:London Mathematical Society Lecture Note Series

图书标签: the  on  Ricci  Lectures  Flow  数学  微分几何7   

Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) 2024 pdf epub mobi 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.

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