Stability of Spacelike Hypersurfaces in Foliated Spacetimes

A. Barros; A. Brasil; A. Caminha

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Stability of Spacelike Hypersurfaces in Foliated Spacetimes

A. Barros·A. Brasil·A. Caminha

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Abstract

We show that a given $x:M^n\to \bar{M}^{n+1}=I\times_ϕF^{n}$ closed spacelike hypersurface with constant mean curvature $H$ and warping function $ϕ$ satisfying ϕ''\geq \ma\{Hϕ'',0\}$ is either minimal or a spacelike slice $\{t_{o}\}\times F$ for some $t_{o}\in I$.

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BibTeX RIS

A. Barros, A. Brasil, A. Caminha. 2006-02-15. Stability of Spacelike Hypersurfaces in Foliated Spacetimes. https://arxiv.org/abs/math/0602331

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