On complete embedded translating solitons of the mean curvature flow that are of finite genus

IF 1.8 1区数学 Q1 MATHEMATICS

Analysis & PDE Pub Date : 2024-05-17 DOI:10.2140/apde.2024.17.1175

Graham Smith

引用次数: 0

Abstract

We desingularise the union of three Grim paraboloids along Costa–Hoffman–Meeks surfaces in order to obtain complete embedded translating solitons of the mean curvature flow with three ends and arbitrary finite genus.

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关于有限属的平均曲率流的完整嵌入平移孤子

我们对沿科斯塔-霍夫曼-米克斯曲面的三个格里姆抛物面的结合体进行了去极化处理，从而得到了具有三个端点和任意有限属的平均曲率流的完整嵌入平移孤子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Analysis & PDE MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： APDE aims to be the leading specialized scholarly publication in mathematical analysis. The full editorial board votes on all articles, accounting for the journal’s exceptionally high standard and ensuring its broad profile.