Spacelike Hypersurfaces in Weighted Generalized Robertson-Walker Space-Times
Applying generalized maximum principle and weak maximum principle, we obtain several uniqueness results for spacelike hypersurfaces immersed in a weighted generalized Robertson-Walker (GRW) space-time under suitable geometric assumptions. Furthermore, we also study the special case when the ambient...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/4523512 |
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| _version_ | 1850167728537600000 |
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| author | Ximin Liu Ning Zhang |
| author_facet | Ximin Liu Ning Zhang |
| author_sort | Ximin Liu |
| collection | DOAJ |
| description | Applying generalized maximum principle and weak maximum principle, we obtain several uniqueness results for spacelike hypersurfaces immersed in a weighted generalized Robertson-Walker (GRW) space-time under suitable geometric assumptions. Furthermore, we also study the special case when the ambient space is static and provide some results by using Bochner’s formula. |
| format | Article |
| id | doaj-art-df574accf7f1441985ce996f2dcea2a8 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-df574accf7f1441985ce996f2dcea2a82025-08-20T02:21:09ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/45235124523512Spacelike Hypersurfaces in Weighted Generalized Robertson-Walker Space-TimesXimin Liu0Ning Zhang1School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaApplying generalized maximum principle and weak maximum principle, we obtain several uniqueness results for spacelike hypersurfaces immersed in a weighted generalized Robertson-Walker (GRW) space-time under suitable geometric assumptions. Furthermore, we also study the special case when the ambient space is static and provide some results by using Bochner’s formula.http://dx.doi.org/10.1155/2018/4523512 |
| spellingShingle | Ximin Liu Ning Zhang Spacelike Hypersurfaces in Weighted Generalized Robertson-Walker Space-Times Advances in Mathematical Physics |
| title | Spacelike Hypersurfaces in Weighted Generalized Robertson-Walker Space-Times |
| title_full | Spacelike Hypersurfaces in Weighted Generalized Robertson-Walker Space-Times |
| title_fullStr | Spacelike Hypersurfaces in Weighted Generalized Robertson-Walker Space-Times |
| title_full_unstemmed | Spacelike Hypersurfaces in Weighted Generalized Robertson-Walker Space-Times |
| title_short | Spacelike Hypersurfaces in Weighted Generalized Robertson-Walker Space-Times |
| title_sort | spacelike hypersurfaces in weighted generalized robertson walker space times |
| url | http://dx.doi.org/10.1155/2018/4523512 |
| work_keys_str_mv | AT ximinliu spacelikehypersurfacesinweightedgeneralizedrobertsonwalkerspacetimes AT ningzhang spacelikehypersurfacesinweightedgeneralizedrobertsonwalkerspacetimes |