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

页码：413 / 422

页数：10

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