On the stability of constant higher order mean curvature hypersurfaces in a Riemannian manifold

被引：2

作者：

Elbert, Maria Fernanda ^{[1
]}

Nelli, Barbara ^{[2
]}

机构：

[1] Univ Fed Rio de Janeiro, Inst Matemat, Rio De Janeiro, Brazil

[2] Univ Aquila, Dipartimento Ingn & Sci Informaz & Matemat, Laquila, Italy

来源：

MATHEMATISCHE NACHRICHTEN | 2024年 / 297卷 / 11期

关键词：

eigenvalues; elliptic operator; r-mean curvature; stability; ROTATION HYPERSURFACES; X R; SURFACES; THEOREM;

D O I：

10.1002/mana.202400159

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose a notion of stability for constant k$k$-mean curvature hypersurfaces in a general Riemannian manifold and we give some applications. When the ambient manifold is a Space Form, our notion coincides with the known one, given by means of the variational problem.

引用

页码：4031 / 4043

页数：13

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