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

• Autores: A. Gervasio Colares, Henrique F. de Lima
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 81, Fasc. 1-2, 2012, págs. 103-120
• Idioma: inglés
• DOI: 10.5486/pmd.2012.5083
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• Resumen

  • 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.