| de Sitter空间S_1~(n+1)(c)中标准数量曲率为c的类空超曲面 |
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| 引用本文： | 宣满友.de Sitter空间S_1~(n+1)(c)中标准数量曲率为c的类空超曲面[J].绍兴文理学院学报,2003(9). |
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| 作者姓名： | 宣满友 |
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| 作者单位： | 绍兴文理学院数学系 浙江 |
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| 摘 要： | 得到deSitter空间s_1~(n+1)(c)中标准数量曲率为常数c的类空超曲面的一个定理:设M~n是de Sitter空间s_1~(n+1)(c)中标准数量曲率r与s_1~(n+1)(c)的截面曲率c相等的n维(n>2)紧致的类空超曲面,则M~n是全测地超曲面.
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| 关 键 词： | de Sitter空间 类空超曲面 常数量曲率 全测地超曲面 |
Space-like Hypersurface With Constant Normalized Scalar Curvature c in a de Sitter Space S_1~(n+1) (c) |
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| Xuan Manyou.Space-like Hypersurface With Constant Normalized Scalar Curvature c in a de Sitter Space S_1~(n+1) (c)[J].Journal of Shaoxing College of Arts and Sciences,2003(9). |
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| Authors: | Xuan Manyou |
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| Abstract: | In this paper the author obtains a result for a compact space - like hypersurface with constant scalar cur-vature c in a de Sitter space S_1~(n+1) (c) : Let M~n be an n - dimensional compact space - like hypersurface (n ? 2 ) in a de Sitter space S_1~(n+1) (c) , if the normalized scalar curvature r of M~n is equal to the sectional curvature c of S_1~(n+1) (c) , the n M~n is totally geodesic. |
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| Keywords: | de Sitter space space- like hypersurface constant scalar curvature totally geodesic hypersurface |
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