| Minkowski空间中带超平面边界的紧致类空超曲面 |
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| 引用本文： | 徐森林,寿乐丽.Minkowski空间中带超平面边界的紧致类空超曲面[J].应用数学,2004,17(2):289-294. |
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| 作者姓名： | 徐森林 寿乐丽 |
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| 作者单位： | 中国科学技术大学数学系,安徽,合肥,230026 |
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| 基金项目： | SupportedbyNNSFC(10 3710 4 7) |
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| 摘 要： | In this paper, we study the relations between a compact spacelike hypersurface with hy-perplanar boundary in the (n 1)- dimensional Minkowski space-time L^n 1 being totally umbilicaland its hyperplanar boundary in a fixed hyperplane π of L^(n 1) being totally umbilical under certainconditions. We give the sufficient conditions for such hypersurface and its hyperplanar boundary tobe totally umbilical in their respective ambients.
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| 关 键 词： | Minkowski空间 超平面边界 紧致类空超曲面 全脐 |
Compact Spacelike Hypersurfaces with Hyperplanar Boundary in Minkowski Space-time |
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| XUSen-lin SHOULe-li.Compact Spacelike Hypersurfaces with Hyperplanar Boundary in Minkowski Space-time[J].Mathematica Applicata,2004,17(2):289-294. |
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| Authors: | XUSen-lin SHOULe-li |
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| Abstract: | In this paper,we study the relations between a compact spacelike hypersurface with hyperplanar boundary in the (n + 1)- dimensional Minkowski space-time Ln+1 being totally umbilical and its hyperplanar boundary in a fixed hyperplane π of L(n+1) being totally umbilical under certain conditions. We give the sufficient conditions for such hypersurface and its hyperplanar boundary to be totally umbilical in their respective ambients. |
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| Keywords: | Minkowski space-time Compact spacelike hypersurfaces Hyperplanar boundary Totally umbilical |
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