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arXiv · 1401.7687

Constant mean curvature spacelike hypersurfaces in Lorentzian warped products and Calabi-Bernstein type problems

Juan A. Aledo·Alfonso Romero·Rafael M. Rubio
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Abstract

In this paper we provide several uniqueness and non-existence results for complete parabolic constant mean curvature spacelike hypersurfaces in Lorentzian warped products under appropriate geometric assumptions. As a consequence of this parametric study, we obtain very general uniqueness and non-existence results for a large family of uniformly elliptic EDP's, so solving the Calabi-Bernstein problem in a wide family of spacetimes.

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Juan A. Aledo, Alfonso Romero, Rafael M. Rubio. 2014-01-28. Constant mean curvature spacelike hypersurfaces in Lorentzian warped products and Calabi-Bernstein type problems. https://arxiv.org/abs/1401.7687

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