Complete spacelike hypersurfaces with positive r-th mean curvature in a semi-Riemannian warped product

In this paper, by supposing a natural comparison inequality on the positive r-th mean curvatures of the hypersurface, we obtain some new Bernstein-type theorems for complete spacelike hypersurfaces immersed in a semi-Riemannian warped product of constant sectional curvature. Generalizing the above r...

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Bibliographic Details
Main Authors: Wang Yaning, Liu Ximin
Format: Article
Language:English
Published: Sciendo 2015-06-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
Online Access:https://doi.org/10.1515/auom-2015-0041