摘要
This paper proves that any rotationally symmetric translating soliton of mean curvature flow in Rs 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 Rn.
This paper proves that any rotationally symmetric translating soliton of mean curvature flow in R3 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 Rn.
基金
Project supported by the 973 Project of the Ministry of Science and Technology of China and the Trans-Century Training Programme Foundation for the Talents by the Ministry of Education of China.
关键词
凸空间
孤波
平均曲率流
旋转对称表面
光滑流形
Convexity, Soliton, Mean curvature flow, Rotationally symmetric surface
