Colding Minicozzi entropy in hyperbolic space

被引：5

作者：

Bernstein, Jacob ^{[1
]}

机构：

[1] Johns Hopkins Univ, Dept Math, 3400 N Charles St, Baltimore, MD 21218 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2021年 / 210卷

关键词：

CLOSED HYPERSURFACES;

D O I：

10.1016/j.na.2021.112401

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This note introduces a notion of entropy for submanifolds of hyperbolic space analogous to the one introduced by Colding and Minicozzi for submanifolds of Euclidean space. Several properties are proved for this quantity including monotonicity along mean curvature flow in low dimensions and a connection with the conformal volume. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：16

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