Open Access
2013 On Complete Spacelike Hypersurfaces in a Semi-Riemannian Warped Product
Yaning Wang, Ximin Liu
J. Appl. Math. 2013: 1-8 (2013). DOI: 10.1155/2013/757041


By applying Omori-Yau maximal principal theory and supposing an appropriate restriction on the norm of gradient of height function, we obtain some new Bernstein-type theorems for complete spacelike hypersurfaces with nonpositive constant mean curvature immersed in a semi-Riemannian warped product. Furthermore, some applications of our main theorems for entire vertical graphs in Robertson-Walker spacetime and for hypersurfaces in hyperbolic space are given.


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Yaning Wang. Ximin Liu. "On Complete Spacelike Hypersurfaces in a Semi-Riemannian Warped Product." J. Appl. Math. 2013 1 - 8, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1267.53062
MathSciNet: MR3039717
Digital Object Identifier: 10.1155/2013/757041

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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