A gap theorem for ancient solutions to the Ricci flow

被引：0

作者：

Yokota, Takumi ^{[1
]}

机构：

[1] Univ Tsukuba, Grad Sch Pure & Appl Sci, Tsukuba, Ibaraki 3058571, Japan

来源：

PROBABILISTIC APPROACH TO GEOMETRY | 2010年 / 57卷

关键词：

Ricci flow; reduced volume; asymptotic volume ratio; gradient Ricci soliton; COMPLETE MANIFOLDS; CURVATURE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We outline the proof of the gap theorem stating that any ancient solution to the Ricci flow with Perelman's reduced volume whose asymptotic limit is sufficiently close to that of the Gaussian soliton must be isometric to the Euclidean space for all time. This is the main result of the author's paper [Yo].

引用

页码：505 / 514

页数：10

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