On the stability of constant higher order mean curvature hypersurfaces in a Riemannian manifold
type: Item
instance of: scholarly article
title: On the stability of constant higher order mean curvature hypersurfaces in a Riemannian manifold
author: Maria Fernanda Elbert
author: Barbara Nelli
published in: Mathematische Nachrichten
publication date: 2024-12-05T00:00:00Z
Mathematics Subject Classification ID: 53A10
zbMATH DE Number: 7954366
zbMATH Keywords: constant k-mean curvature surfaces
MaRDI profile type: Publication
cites work: Stability of hypersurfaces with vanishing r-mean curvatures in euclidean spaces
cites work: On the stability index of hypersurfaces with constant mean curvature in spheres
cites work: Hypersurfaces of constant higher order mean curvature in warped products
cites work: Curvature estimates for stable marginally trapped surfaces
cites work: Jang's equation and its applications to marginally trapped surfaces
cites work: Stability of hypersurfaces with constant mean curvature
cites work: Stability of hypersurfaces of constant mean curvature in Riemannian manifolds
cites work: Stability of hypersurfaces with constant \(r\)-mean curvature
cites work: Fundamental tone estimates for elliptic operators in divergence form and geometric applications
cites work: Isoperimetric and Weingarten surfaces in the Schwarzschild manifold
cites work: The global geometry of surfaces with prescribed mean curvature in ℝ³
cites work: Q3344779
cites work: Hypersurfaces of constant higher-order mean curvature in \(M\times{\mathbb{R}}\)
cites work: Q3081537
cites work: Constant positive 2-mean curvature hypersurfaces
cites work: On the structure of hypersurfaces in Hn×R with finite strong total curvature
cites work: Constructions of \(H_r\)-hypersurfaces, barriers and Alexandrov theorem in \(\mathbb H^n\times\mathbb R\)
cites work: Hypersurfaces with \(H_{r+1}=0\) in \(\mathbb H^n\times\mathbb R\)
cites work: The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
cites work: A generalization of Hawking's black hole topology theorem to higher dimensions
cites work: The maximum principle for hypersurfaces with vanishing curvature functions
cites work: Q3038155
cites work: Rotational hypersurfaces of space forms with constant scalar curvature
cites work: On eigenvalue problems arising from nonlocal diffusion models
cites work: Complete rotation hypersurfaces with Hk constant in space forms
cites work: Variational properties of functions of the mean curvatures for hypersurfaces in space forms
cites work: Q4271943
cites work: Q4838145
cites work: On stable constant mean curvature surfaces in $\mathbb S^2\times \mathbb R$ and $\mathbb H^2\times \mathbb R $
DOI: 10.1002/MANA.202400159
description: scientific article; zbMATH DE number 7954366