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On the Curvatures of Complete Spacelike Hypersurfaces in de Sitter Space |
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| Authors: | Juan A. Aledo Luis J. Alías |
| Affiliation: | (1) Departamento de Matemáticas, Universidad de Castilla-La Mancha, Escuela Politécnica Superior de Albacete, 02071 Albacete, Spain;(2) Departamento de Matemáticas, Universidad de Murcia, 30100 Espinardo, Murcia, Spain |
| Abstract: | We establish some estimates for the higher-order mean curvatures, the scalar curvature and the Ricci curvature of a complete spacelike hypersurface in de Sitter space which is contained in certain unbounded regions of the ambient space. Our results will be an application of a generalized maximum principle due to Omori. |
| Keywords: | de Sitter space spacelike hypersurface jth mean curvatures scalar curvature Ricci curvature |
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