| 数量曲率为常数的类空子流形 |
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| 引用本文： | 侯双红,张宗劳.数量曲率为常数的类空子流形[J].山西师范大学学报,2009,23(2):20-22. |
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| 作者姓名： | 侯双红 张宗劳 |
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| 作者单位： | 温州大学数学与信息科学学院,浙江,温州,325035
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| 摘 要： | 设Mn是Mnp＋p（c）中的一个标准数量曲率为常数c且法丛平坦的n维紧致类空子流形,本文给出了Mn为全脐子流形或全测地子流形的刚性条件.
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| 关 键 词： | 类空子流形 数量曲率 法丛平坦 |
Spaces-Like Submanifolds with Constant Scalar Curvature |
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| HOU Shuang-hong,ZHANG Zong-lao.Spaces-Like Submanifolds with Constant Scalar Curvature[J].Journal of Shanxi Teachers University,2009,23(2):20-22. |
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| Authors: | HOU Shuang-hong ZHANG Zong-lao |
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| Institution: | School of Mathematics and Information Science;Wenzhou University;Wenzhou 325035;Zhejiang;China |
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| Abstract: | Let Mn be a space-like submanifold in a de Sitter space Mn+pp(c) with constant normalized scalar curvature c.In this paper,we give intrinsic conditions for Mnto be totally geodesic or totally umbilical. |
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| Keywords: | space-like submanifold scalar curvature flat normal bundle |
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