Spacelike Hypersurfaces in Weighted Generalized Robertson-Walker Space-Times

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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Veröffentlicht in:Advances in Mathematical Physics 2018-01, Vol.2018 (2018), p.1-6
Hauptverfasser: Liu, Ximin, Zhang, Ning
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
General relativity (Physics)
Geometry
Manifolds (Mathematics)
Maximum principle
Space and time
Spacetime
Theory of relativity
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Zusammenfassung: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.
ISSN:1687-9120
1687-9139
DOI:10.1155/2018/4523512