Convexity and symmetry of translating solitons in mean curvature flows

被引：14
|
作者：
Jian, HY [1 ]
Liu, QH
Chen, XQ
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2005年 / 26卷 / 03期
关键词：
convexity; soliton; mean curvature flow; rotationally symmetric surface;
D O I：
10.1142/S0252959905000336
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper proves that any rotationally symmetric translating soliton of mean curvature flow in R-3 is strictly convex if it is not a plane and it intersects its symmetric axis at one point. The authors also study the symmetry of any translating soliton of mean curvature flow in R-n.
引用
收藏
页码：413 / 422
页数：10
相关论文
共 50 条
12345