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.
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页码：1995 / 2016
页数：22
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