Stability of Spacelike Hypersurfaces in Foliated Spacetimes

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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 $t_{o}\in I$.
10 pages

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Differential Geometry, 53C50

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http://salesiana.dossiersoluciones.com/handle/123456789/108980

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602331
 http://arxiv.org/abs/math/0602331

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arXiv