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

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 app...

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Bibliographic Details
Main Authors: Ning Zhang, Zhangsheng Zhu
Format: Article
Language:English
Published: Hindawi Limited 2023-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2023/6390463