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


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

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Peter Topping
Cambridge University Press
2006-11-06
113
USD 45.00
Paperback
London Mathematical Society Lecture Note Series
9780521689472

圖書標籤: the  on  Ricci  Lectures  Flow  數學  微分幾何7   


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发表于2024-12-26

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

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

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



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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) 下載 mobi epub pdf txt 電子書

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