On the stability of constant higher order mean curvature hypersurfaces in a Riemannian manifold
Abstract We propose a notion of stability for constant ‐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.
Authors
- Maria Fernanda Elbert (ORCID: https://orcid.org/0009-0008-3797-1165)
- Barbara Nelli (ORCID: https://orcid.org/0000-0002-0879-8390)
Institutions
- Universidade Federal do Rio de Janeiro (BR)
- University of L'Aquila (IT)
Publication Details
- Journal
- Mathematische Nachrichten
- Published
- 2024-09-01
- DOI
- https://doi.org/10.1002/mana.202400159
- Citations
- 1
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.97
Funders
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
- Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro
- Universidade Federal do Rio de Janeiro
- Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni