CURVATURE DECAY ESTIMATES OF GRAPHICAL MEAN CURVATURE FLOW IN HIGHER CODIMENSIONS

被引：8

作者：

Smoczyk, Knut ^{[1
,2
]}

Tsui, Mao-Pei ^{[3
,4
]}

Wang, Mu-Tao ^{[5
]}

机构：

[1] Leibniz Univ Hannover, Inst Differentialgeometrie, Welfengarten 1, D-30167 Hannover, Germany

[2] Leibniz Univ Hannover, Riemann Ctr Geometry & Phys, Welfengarten 1, D-30167 Hannover, Germany

[3] Natl Taiwan Univ, Dept Math, Taipei 10617, Taiwan

[4] Univ Toledo, Dept Math & Stat, 2801 W Bancroft St, Toledo, OH 43606 USA

[5] Columbia Univ, Dept Math, 2990 Broadway, New York, NY 10027 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 368卷 / 11期

基金：

美国国家科学基金会;

关键词：

Mean curvature flow; MAPS; EXISTENCE; EVOLUTION; SURFACES;

D O I：

10.1090/tran/6624

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive pointwise curvature estimates for graphical mean curvature flows in higher codimensions for a flat ambient space. To the best of our knowledge, these are the first such estimates without assuming smallness of first derivatives of the defining map. An immediate application is a convergence theorem of the mean curvature flow of the graph of an area decreasing map between flat Riemann surfaces.

引用

页码：7763 / 7775

页数：13

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