| 局部对称共形平坦黎曼流形的伪脐点子流形 |
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| 引用本文： | 钟定兴,刘智.局部对称共形平坦黎曼流形的伪脐点子流形[J].赣南师范学院学报,1999(6):8-12. |
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| 作者姓名： | 钟定兴 刘智 |
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| 作者单位： | 赣南师范学院数学系!江西赣州341000(钟定兴)，赣南教育学院!江西兴国342400(刘智)，南方冶院理学系(孙弘安) |
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| 基金项目： | 江西省自然科学基金资助项目 |
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| 摘 要： | 本文研究局部对称共形平坦黎曼流形的具有平行非零中曲率向量的焦脐点子流形的截面曲率和数量曲率的拼挤问题。
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| 关 键 词： | 局部对称 共形平坦 截面曲率 数量曲率 |
The Pseudo-Umbilical Submanifolds in a Locally Symmetric Conformally Flat Riemannian Manifold |
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| ZHONG Ding,xing,LIU Zhi,SUN Hongan.The Pseudo-Umbilical Submanifolds in a Locally Symmetric Conformally Flat Riemannian Manifold[J].Journal of Gannan Teachers' College(Social Science(2)),1999(6):8-12. |
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| Authors: | ZHONG Ding xing LIU Zhi SUN Hongan |
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| Abstract: | Let N n+p (p≥2) be a locally Symmetric,conformally flat Riemannian manifuld of dimension(n+p),and M n(n≤2) be a compact pseudo umbilical submanifold with parallel mean curvature in N n+p ,this paper studies the pinching question of sectional curvatare and the scalar curvature of M n. |
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| Keywords: | Locally Symmetric conformally flat Sectional curvature Scalar curvature |
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