Linear Weingarten spacelike submanifolds in de Sitter space |
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| Authors: | Dan Yang Zhonghua Hou |
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| Institution: | 1. College of Science, Shenyang University, Shenyang, 110044, People??s Republic of China
2. School of Mathematical Science, Dalian University of Technology, Dalian, 116024, People??s Republic of China
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| Abstract: | Let M n be a spacelike linear Weingarten submanifold in a de Sitter space ${S^{n+p}_{p}(1)}$ with R?=?aH?+?b, where R and H are the normalized scalar curvature and the length of the mean curvature vector respectively. In this paper, we give intrinsic and extrinsic conditions for M n to be totally umbilical, respectively. |
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