Resumen de On the rigidity of spacelike hypersurfaces immersed in the steady state space H elevado a n+1

A. Gervasio Colares, Henrique F. de Lima

• In this paper, as a suitable application of the well known generalized Maximum Principle of Omori{Yau, we obtain rigidity results concerning to complete spacelike hypersurfaces immersed in the half Hn+1 of the de Sitter space Sn+1 1 , which models the so-called steady state space. Moreover, by using an isometrically equivalent model for Hn+1, we extend our results to a wider family of spacetimes. Finally, we also study the uniqueness of entire vertical graphs in such ambient spacetimes.