On Bernstein-Type Theorems in Semi-Riemannian Warped Products
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...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/959143 |
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| _version_ | 1832568443965014016 |
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| author | Wenjie Wang Ximin Liu |
| author_facet | Wenjie Wang Ximin Liu |
| author_sort | Wenjie Wang |
| collection | DOAJ |
| description | 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). |
| format | Article |
| id | doaj-art-8a935c4ce0844d288d35751b2309848e |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-8a935c4ce0844d288d35751b2309848e2025-02-03T00:58:59ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/959143959143On Bernstein-Type Theorems in Semi-Riemannian Warped ProductsWenjie Wang0Ximin Liu1Department of Mathematics, South China University of Technology, Guangzhou, Guangdong 510641, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian, Liaoning 116024, ChinaComplete 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).http://dx.doi.org/10.1155/2013/959143 |
| spellingShingle | Wenjie Wang Ximin Liu On Bernstein-Type Theorems in Semi-Riemannian Warped Products Advances in Mathematical Physics |
| title | On Bernstein-Type Theorems in Semi-Riemannian Warped Products |
| title_full | On Bernstein-Type Theorems in Semi-Riemannian Warped Products |
| title_fullStr | On Bernstein-Type Theorems in Semi-Riemannian Warped Products |
| title_full_unstemmed | On Bernstein-Type Theorems in Semi-Riemannian Warped Products |
| title_short | On Bernstein-Type Theorems in Semi-Riemannian Warped Products |
| title_sort | on bernstein type theorems in semi riemannian warped products |
| url | http://dx.doi.org/10.1155/2013/959143 |
| work_keys_str_mv | AT wenjiewang onbernsteintypetheoremsinsemiriemannianwarpedproducts AT ximinliu onbernsteintypetheoremsinsemiriemannianwarpedproducts |