Work

Solitons of mean curvature flow in certain warped products: nonexistence, rigidity, and Moser-Bernstein type results

Year: 2025

Type: article

Abstract: 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.

Source: Constructive Mathematical Analysis

DOI: 10.33205/cma.1597851

Authors: Márcio Batista, Henrique De Lima, Wallace Gomes

Institutions: Universidade Federal de Alagoas, Universidade Federal de Campina Grande, Universidade Federal de Pernambuco

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

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

Awards: G2777246663, G5956834982, G624491165