On Bernstein‐Type Theorems in Semi‐Riemannian Warped Products

Wenjie Wang and Ximin Liu

Advances in Mathematical Physics, 2013, vol. 2013, issue 1

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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https://doi.org/10.1155/2013/959143

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2013:y:2013:i:1:n:959143

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