Curvature estimates for minimal submanifolds of higher codimension

被引：0
|
作者：
Yuanlong Xin
Ling Yang
机构：
[1] School of Mathematical Sciences,Key Laboratory of Mathematics for Nonlinear Sciences
[2] Fudan University,School of Mathematical Sciences
[3] Fudan University,undefined
来源：
Chinese Annals of Mathematics, Series B | 2009年 / 30卷
关键词：
Curvature estimates; Minimal submanifold; Bernstein type theorem; 49Q05; 53A07; 53A10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The authors derive curvature estimates for minimal submanifolds in Euclidean space for arbitrary dimension and codimension via Gauss map. Thus, Schoen-Simon-Yau’s results and Ecker-Huisken’s results are generalized to higher codimension. In this way, Hildebrandt-Jost-Widman’s result for the Bernstein type theorem is improved.
引用
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页码：379 / 396
页数：17
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