论文标题
用于反平均曲率流量和等距函数的图形翻译孤子
Graphical translating solitons for the inverse mean curvature flow and isoparametric functions
论文作者
论文摘要
在本文中，我们考虑了一个翻译孤子，用于给出的反平均曲率流，作为单位球体中域上的函数的图形，其水平集合给出了等距叶面。首先，我们表明该功能作为单位球体上等型函数的组成和作为某个普通微分方程的解决方案给出的函数。此外，我们分析了普通微分方程溶液的图形的形状。该分析导致将这种翻译孤子的形状分类为反平均曲率流。
In this paper, we consider a translating soliton for the inverse mean curvature flow given as a graph of a function on a domain in a unit sphere whose level sets give isoparametric foliation. First, we show that such function is given as a composition of an isoparametric function on the unit sphere and a function which is given as a solution of a certain ordinary differential equation. Further, we analyze the shape of the graphs of the solutions of the ordinary differential equation. This analysis leads to the classification of the shape of such translating solitons for the inverse mean curvature flow.
