Comparison formulas for total mean curvatures of Riemannian hypersurfaces

IF 2.1 2区数学 Q1 MATHEMATICS

Advanced Nonlinear Studies Pub Date : 2024-03-01 DOI:10.1515/ans-2022-0081

Mohammad Ghomi

引用次数: 0

Abstract

We devise some differential forms after Chern to compute a family of formulas for comparing total mean curvatures of nested hypersurfaces in Riemannian manifolds. This yields a quicker proof of a recent result of the author with Joel Spruck, which had been obtained via Reilly’s identities.

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黎曼超曲面总平均曲率的比较公式

我们仿照 Chern 的方法设计了一些微分形式，计算出一系列用于比较黎曼流形中嵌套超曲面总平均曲率的公式。这使作者与乔尔-斯普鲁克（Joel Spruck）的一项最新成果得到了更快的证明，该成果是通过雷利等式获得的。

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.