On Calabi–Bernstein’s Problem for Uniqueness of Complete Spacelike Hypersurfaces in Weighted Generalized Robertson–Walker Spacetimes

Ning Zhang () and Zhangsheng Zhu
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Ning Zhang: School of Science, Henan Institute of Technology, Xinxiang 453003, China
Zhangsheng Zhu: School of Science, Jiujiang University, Jiujiang 332005, China

Mathematics, 2023, vol. 11, issue 13, 1-9

Abstract: In this paper, we study Calabi–Bernstein’s problem for the uniqueness of complete constant weighted mean curvature spacelike hypersurfaces Σ n in weighted generalized Robertson–Walker spacetimes − I × ρ M f n . Under appropriate geometric assumptions, we confirm that Σ n is a spacelike slice.

Keywords: Calabi–Bernstein’s problem; constant weighted mean curvature; uniqueness of spacelike hypersurfaces (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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