CLOSED HYPERSURFACES OF LOW ENTROPY IN R4 ARE ISOTOPICALLY TRIVIAL

被引：7

作者：

Bernstein, Jacob ^{[1
]}

Wang, L. U. ^{[2
]}

机构：

[1] Johns Hopkins Univ, Dept Math, Baltimore, MD 21218 USA

[2] CALTECH, Dept Math, Pasadena, CA 91125 USA

来源：

DUKE MATHEMATICAL JOURNAL | 2022年 / 171卷 / 07期

基金：

美国国家科学基金会;

关键词：

MEAN-CURVATURE FLOW; SELF-SHRINKERS; SINGULARITIES; REGULARITY; UNIQUENESS; EXISTENCE; PROPERTY; SURFACES; MOTION;

D O I：

10.1215/00127094-2022-0012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that any closed connected hypersurface in R-4 with entropy less than or equal to that of the round cylinder is smoothly isotopic to the standard three-sphere.

引用

页码：1531 / 1558

页数：28

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