On Bernstein-Type Theorems in Semi-Riemannian Warped Products

Wenjie Wang and Ximin Liu

Advances in Mathematical Physics, 2013, vol. 2013, 1-5

Abstract:

Complete spacelike hypersurfaces immersed in semi-Riemannian warped products are investigated. By using a technique according to Yau (1976) and a reasonable restriction on the mean curvature of the hypersurfaces, we obtain some new Bernstein-type theorems which extend some known results proved by Camargo et al. (2011) and Colares and Lima (2012).

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:959143

DOI: 10.1155/2013/959143

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