First stability eigenvalue of singular hypersurfaces with constant mean curvature in the unit sphere-Reference-Cited by-同舟云学术

First stability eigenvalue of singular hypersurfaces with constant mean curvature in the unit sphere

Published:2022-08-19 Issue:2 Volume:151 Page:795-810
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Dung Nguyen,Pyo Juncheol,Tran Hung

Abstract

In this paper, we study the first eigenvalue of the stability operator on an integral n n -varifold with constant mean curvature in the unit sphere S n + 1 \mathbb {S}^{n+1} . We find the optimal upper bound and prove a rigidity result characterizing the case when it is attained. This gives a new characterization for certain singular Clifford tori.

Funder

National Research Foundation of Korea

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2023-151-02/S0002-9939-2022-16120-6/proc16120_AM.pdf

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