A simple proof on the non-existence of shrinking breathers for the Ricci flow

被引：3

作者：

Hsu, SY ^{[1
]}

机构：

[1] Natl Chung Cheng Univ, Dept Math, Chiayi 62107, Taiwan

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2006年 / 27卷 / 01期

关键词：

Ricci flow; monotonicity of infinitely many functional; non-existence of shrinking breathers;

D O I：

10.1007/s00526-006-0023-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Suppose M is a compact n-dimensional manifold, n >= 2, with a metric g (ij) (x, t) that evolves by the Ricci flow partial derivative(t) g (ij) = -2R (ij) in Mx (0, T). We will give a simple proof of a recent result of Perelman on the non-existence of shrinking breather without using the logarithmic Sobolev inequality.

引用

页码：59 / 73

页数：15

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