Rigidity properties of Colding–Minicozzi entropies

IF 2.1 2区数学 Q1 MATHEMATICS

Advanced Nonlinear Studies Pub Date : 2024-03-01 DOI:10.1515/ans-2022-0082

Jacob Bernstein

引用次数: 0

Abstract

We show certain rigidity for minimizers of generalized Colding–Minicozzi entropies. The proofs are elementary and work even in situations where the generalized entropies are not monotone along mean curvature flow.

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科尔丁-米尼柯齐熵的刚性特性

我们证明了广义 Colding-Minicozzi 熵最小化的某些刚性。证明是基本的，甚至在广义熵不沿平均曲率流单调的情况下也有效。

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

Advanced Nonlinear Studies 数学-数学

CiteScore

3.00

自引率

5.60%

发文量

审稿时长

12 months

期刊介绍： Advanced Nonlinear Studies is aimed at publishing papers on nonlinear problems, particulalry those involving Differential Equations, Dynamical Systems, and related areas. It will also publish novel and interesting applications of these areas to problems in engineering and the sciences. Papers submitted to this journal must contain original, timely, and significant results. Articles will generally, but not always, be published in the order when the final copies were received.