A rigidity theorem for complete CMC hypersurfaces in Lorentz manifolds |
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Authors: | A Caminha |
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Institution: | Universidade Federal do Ceará, Departamento de Matemática, Bloco 914, CEP: 60455-760, Fortaleza, CE, Brazil |
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Abstract: | In this paper we use the standard formula for the Laplacian of the squared norm of the second fundamental form and the asymptotic maximum principle of H. Omori and S.T. Yau to classify complete CMC spacelike hypersurfaces of a Lorentz ambient space of nonnegative constant sectional curvature, under appropriate bounds on the scalar curvature. |
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Keywords: | primary 53C42 secondary 53B30 53C50 53Z05 83C99 |
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