Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions

被引：26

作者：

Brendle, Simon ^{[1
]}

Choi, Kyeongsu

机构：

[1] Columbia Univ, Dept Math, New York, NY 10027 USA

来源：

GEOMETRY & TOPOLOGY | 2021年 / 25卷 / 05期

基金：

美国国家科学基金会;

关键词：

SINGULARITIES; BEHAVIOR;

D O I：

10.2140/gt.2021.25.2195

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider noncompact ancient solutions to the mean curvature flow in Rn+1 (n >= 3) which are strictly convex, uniformly two-convex, and noncollapsed. We prove that such an ancient solution is a rotationally symmetric translating soliton.

引用

页码：2195 / 2234

页数：40

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