On the $r-$stability of spacelike hypersurfaces

Details On the $r-$stability of spacelike hypersurfaces On the $r-$stability of spacelike hypersurfaces

2009-11-11

arxiv.org/abs/0911.2043v1

Mathematics

Differential Geometry

Scientific paper

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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