On Bernstein’s Problem of Complete Parabolic Hypersurfaces in Warped Products

Autor: Ning Zhang, Zhangsheng Zhu
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Advances in Mathematical Physics, Vol 2023 (2023)
Druh dokumentu: article
ISSN: 1687-9139
DOI: 10.1155/2023/6390463
Popis: We study constant mean curvature hypersurfaces constructed over the fiber Mn of warped products I×fMn. In this setting, assuming that the sign of the angle function does not changed along the hypersurfaces, we infer the uniqueness of such hypersurfaces by applying a parabolicity criterion. As an application, we get some Bernstein type theorems.
Databáze: Directory of Open Access Journals