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arXiv · 0911.2043

On the $r-$stability of spacelike hypersurfaces

F. Camargo·A. Caminha·H. de Lima·M. Silva
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Abstract

In this paper we study the strong stability of spacelike hypersurfaces with constant $r$-th mean curvature in Generalized Robertson-Walker spacetimes of constant sectional curvature. In particular, we treat the case in which the ambient spacetime is the de Sitter space.

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F. Camargo, A. Caminha, H. de Lima, M. Silva. 2009-11-11. On the $r-$stability of spacelike hypersurfaces. https://doi.org/10.1016/j.geomphys.2010.05.004

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