The Equality Case in the Substatic Heintze–Karcher Inequality

IF 2.6 1区数学 Q1 MATHEMATICS, APPLIED

Archive for Rational Mechanics and Analysis Pub Date : 2024-11-05 DOI:10.1007/s00205-024-02022-7

Stefano Borghini, Mattia Fogagnolo, Andrea Pinamonti

引用次数: 0

Abstract

We provide a rigidity statement for the equality case of the Heintze–Karcher inequality in substatic manifolds. We apply such a result in the warped product setting to fully remove assumption (H4) in the celebrated Brendle’s characterization of constant mean curvature hypersurfaces in warped products.

查看原文本刊更多论文

Substatic Heintze-Karcher 不等式中的平等案例

我们为亚静态流形中的海因策-卡彻不等式的相等情况提供了一个刚度声明。我们将这一结果应用于翘曲积中，从而完全消除了著名的布伦德尔对翘曲积中恒定均值曲率超曲面的描述中的假设 (H4)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Archive for Rational Mechanics and Analysis 物理-力学

CiteScore

5.10

自引率

8.00%

发文量

审稿时长

4-8 weeks

期刊介绍： The Archive for Rational Mechanics and Analysis nourishes the discipline of mechanics as a deductive, mathematical science in the classical tradition and promotes analysis, particularly in the context of application. Its purpose is to give rapid and full publication to research of exceptional moment, depth and permanence.