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Keywords = Calabi–Bernstein’s problem

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9 pages, 294 KB  
Article
On Calabi–Bernstein’s Problem for Uniqueness of Complete Spacelike Hypersurfaces in Weighted Generalized Robertson–Walker Spacetimes
by Ning Zhang and Zhangsheng Zhu
Mathematics 2023, 11(13), 2795; https://doi.org/10.3390/math11132795 - 21 Jun 2023
Viewed by 924
Abstract
In this paper, we study Calabi–Bernstein’s problem for the uniqueness of complete constant weighted mean curvature spacelike hypersurfaces Σn in weighted generalized Robertson–Walker spacetimes I×ρMfn. Under appropriate geometric assumptions, we confirm that Σn is [...] Read more.
In this paper, we study Calabi–Bernstein’s problem for the uniqueness of complete constant weighted mean curvature spacelike hypersurfaces Σn in weighted generalized Robertson–Walker spacetimes I×ρMfn. Under appropriate geometric assumptions, we confirm that Σn is a spacelike slice. Full article
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