CURRENTS AND FLAT CHAINS ASSOCIATED TO VARIFOLDS, WITH AN APPLICATION TO MEAN CURVATURE FLOW

被引：37

作者：

White, Brian ^{[1
]}

机构：

[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA

来源：

DUKE MATHEMATICAL JOURNAL | 2009年 / 148卷 / 01期

基金：

美国国家科学基金会;

关键词：

INTEGRAL CURRENTS; THEOREM; PROOF;

D O I：

10.1215/00127094-2009-019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove under suitable hypotheses that convergence of integral varifolds implies convergence of associated mod 2 flat chains and subsequential convergence of associated integer-multiplicity rectifiable currents. The convergence results imply restrictions oil the kinds of singularities that can occur in mean curvature flow.

引用

页码：41 / 62

页数：22

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