First $\frac{2}{n}$-stability eigenvalue of singular minimal hypersurfaces in space forms

IF 0.6 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2022-10-21 DOI:10.1007/s10455-022-09880-y

Ha Tuan Dung, Nguyen Thac Dung, Juncheol Pyo

引用次数: 0

Abstract

In this paper, we study the first $\frac{2}{n}$-stability eigenvalue on singular minimal hypersurfaces in space forms. We provide a characterization of catenoids in space forms in terms of $\frac{2}{n}$-stable eigenvalue. We emphasize that this result is even new in the regular setting.

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空间形式中奇异极小超曲面的第一个$$\frac｛2｝｛n｝$$稳定性特征值

本文研究了空间形式奇异极小超曲面的第一个稳定特征值。我们根据\（\ frac｛2｝｛n｝\）稳定的特征值，给出了空间形式的链状体的特征。我们强调，这一结果在常规环境中甚至是新的。

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

Annals of Global Analysis and Geometry 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal examines global problems of geometry and analysis as well as the interactions between these fields and their application to problems of theoretical physics. It contributes to an enlargement of the international exchange of research results in the field. The areas covered in Annals of Global Analysis and Geometry include: global analysis, differential geometry, complex manifolds and related results from complex analysis and algebraic geometry, Lie groups, Lie transformation groups and harmonic analysis, variational calculus, applications of differential geometry and global analysis to problems of theoretical physics.

First \(\frac{2}{n}\)-stability eigenvalue of singular minimal hypersurfaces in space forms

Abstract