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On Complete Spacelike Hypersurfaces in a Semi-Riemannian Warped Product
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-27
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Wang, Yaning& Liu, Ximin. 2013. On Complete Spacelike Hypersurfaces in a Semi-Riemannian Warped Product. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-496305
Modern Language Association (MLA)
Wang, Yaning& Liu, Ximin. On Complete Spacelike Hypersurfaces in a Semi-Riemannian Warped Product. Journal of Applied Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-496305
American Medical Association (AMA)
Wang, Yaning& Liu, Ximin. On Complete Spacelike Hypersurfaces in a Semi-Riemannian Warped Product. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-496305
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496305