On Complete Spacelike Hypersurfaces in a Semi-Riemannian Warped Product

On Complete Spacelike Hypersurfaces in a Semi-Riemannian Warped Product

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. F...

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Veröffentlicht in:Journal of Applied Mathematics 2013-01, Vol.2013 (2013), p.669-676-669
Hauptverfasser: Wang, Yaning, Liu, Ximin
Format: Artikel
Sprache:eng
Schlagworte:
Constrictions
Curvature
Functions (mathematics)
Graphs
Mathematical analysis
Norms
Theorems
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Zusammenfassung: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.
ISSN:1110-757X
1687-0042
DOI:10.1155/2013/757041