The space of asymptotically conical self-expanders of mean curvature flow

被引：19

作者：

Bernstein, Jacob ^{[1
]}

Wang, Lu ^{[2
]}

机构：

[1] Johns Hopkins Univ, Dept Math, 3400 N Charles St, Baltimore, MD 21218 USA

[2] CALTECH, Dept Math, 1200 E Calif Blvd, Pasadena, CA 91106 USA

来源：

MATHEMATISCHE ANNALEN | 2021年 / 380卷 / 1-2期

关键词：

SURFACES;

D O I：

10.1007/s00208-021-02147-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the space of asymptotically conical self-expanders of the mean curvature flow is a smooth Banach manifold. An immediate consequence is that non-degenerate self-expanders-that is, those self-expanders that admit no non-trivial normal Jacobi fields that fix the asymptotic cone-are generic in a certain sense.

引用

页码：175 / 230

页数：56

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