Solitons of mean curvature flow in certain warped products: nonexistence, rigidity, and Moser-Bernstein type results
We apply suitable maximum principles to obtain nonexistence and rigidity results for complete mean curvature flow solitons in certain warped product spaces. We also provide applications to self-shrinkers in Euclidean space, as well as to mean curvature flow solitons in real projective, pseudo-hyperbolic, Schwarzschild, and Reissner-Nordstr"{o}m spaces. Furthermore, we establish new Moser-Bernstein type results for entire graphs constructed over the fiber of the ambient space that are mean curvature flow solitons.
Authors
- Márcio Batista (ORCID: https://orcid.org/0000-0002-6495-3842)
- Wallace F. Gomes (ORCID: https://orcid.org/0000-0002-5150-3578)
- Henrique F. de Lima (ORCID: https://orcid.org/0000-0002-2798-7082)
Institutions
- Universidade Federal de Pernambuco (BR)
- Universidade Federal de Campina Grande (BR)
- Universidade Federal de Alagoas (BR)
Publication Details
- Journal
- Constructive Mathematical Analysis
- Published
- 2025-06-11
- DOI
- https://doi.org/10.33205/cma.1597851
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Fundação de Apoio à Pesquisa do Estado da Paraíba