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Complete maximal spacelike hypersurfaces ofH 41 (c)*

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Abstract

In this paper, we prove that the hyperbolic cylinderH 1(c 1)×H 2(c 2) is the only complete maximal spacelike hypersurfaces inH 41 (c) with nonzero constant Gauss-Kronecker curvature and give a characterization of complete maximal spacelike hypersurfaces ofH 41 (c) with constant scalar curvature.

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Authors and Affiliations

  1. Institute of Mathematics, Fudan University, 200433, Shanghai, P.R. China

    Qing-Ming Cheng

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  1. Qing-Ming Cheng
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The project Supported by NNSFC, FECC and CPF

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Cheng, QM. Complete maximal spacelike hypersurfaces ofH 41 (c)* . Manuscripta Math 82, 149–160 (1994). https://doi.org/10.1007/BF02567694

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  • DOI: https://doi.org/10.1007/BF02567694

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