Translating solitons of the mean curvature flow

被引：42
|
作者：
Xin, Y. L. [1 ]
机构：
[1] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 54卷 / 02期
关键词：
GAUSS IMAGE; RIEMANNIAN MANIFOLDS; MINIMAL SUBMANIFOLDS; CONVEX SETS; SINGULARITIES; THEOREMS; SURFACES; RIGIDITY; SPHERE; MAPS;
D O I：
10.1007/s00526-015-0853-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study some basic properties of translating solitons: the volume growth, generalized maximum principle, Gauss maps and certain functions related to the Gauss maps. Finally we carry out point-wise estimates and integral estimates for the squared norm of the second fundamental form. These estimates give rigidity theorems for translating solitons in the Euclidean space in higher codimension.
引用
收藏
页码：1995 / 2016
页数：22
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