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

被引：0
|
作者：
Shu-Yu Hsu
机构：
[1] National Chung Cheng University,Department of Mathematics
来源：
Calculus of Variations and Partial Differential Equations | 2006年 / 27卷
关键词：
Ricci flow; Monotonicity of infinitely many functional; Non-existence of shrinking breathers;
D O I：
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学科分类号：
摘要：
Suppose M is a compact n-dimensional manifold, n≥ 2, with a metric gij(x, t) that evolves by the Ricci flow ∂tgij = −2Rij in M× (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.
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