SO(2) Symmetry of the Translating Solitons of the Mean Curvature Flow in R4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {R}^4$$\end{document}

被引：0
作者：
Jingze Zhu
机构：
[1] Columbia University,Department of Mathematics
来源：
Annals of PDE | 2022年 / 8卷 / 1期
关键词：
Mean curvature flow; Soliton solution; Singularity analysis; Quasilinear parabolic PDE; 53E10;
D O I：
10.1007/s40818-022-00120-x
中图分类号：
学科分类号：
摘要：
In this paper, we prove that the translating solitons of the mean curvature flow in R4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {R}^4$$\end{document} which arise as blow-up limit of embedded, mean convex mean curvature flow must have SO(2) symmetry.
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