Spacelike Hypersurfaces in Weighted Generalized Robertson-Walker Space-Times-Reference-Cited by-同舟云学术

Spacelike Hypersurfaces in Weighted Generalized Robertson-Walker Space-Times

Published:2018 Issue: Volume:2018 Page:1-6
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Liu Ximin¹^ORCID,Zhang Ning¹^ORCID

Affiliation:

1. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China

Abstract

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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2018/4523512.pdf

Reference13 articles.

1. Lecture Notes in Math.,1983

2. Comparison geometry for the Bakry-Emery Ricci tensor

3. On Bernstein-type properties of complete hypersurfaces in weighted warped products

4. New Calabi–Bernstein type results in weighted generalized Robertson–Walker spacetimes

5. Rigidity of complete spacelike hypersurfaces with constant weighted mean curvature

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