Complete space-like hypersurfaces with constant scalar curvature |
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| Authors: | Ximin Liu |
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| Affiliation: | (1) Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China. e-mail: xmliu@dlut.edu.cn, CN |
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| Abstract: | Let M n be a complete space-like hypersurface with constant normalized scalar curvature R in the de Sitter space S n + 1 1 and denote . We prove that if the norm square of the second fundamental form of M n satisfies , then either and M n is a totally umbilical hypersurface; or , and, up to rigid motion, M n is a hyperbolic cylinder . Received: 8 February 2001 / Revised version: 27 April 2001 |
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| Keywords: | Mathematics Subject Classification (2000): 53C42 53A10 |
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