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arxiv: 0911.2043 · v1 · pith:M7X2EBF4new · submitted 2009-11-11 · 🧮 math.DG

On the r-stability of spacelike hypersurfaces

classification 🧮 math.DG
keywords constantcurvaturehypersurfacesspacelikestabilityambientcasegeneralized
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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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