| 法联络平坦子流形与第二基本张量 |
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| 引用本文： | 舒世昌.法联络平坦子流形与第二基本张量[J].数学研究及应用,1997,17(3):463-468. |
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| 作者姓名： | 舒世昌 |
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| 作者单位： | 咸阳师专数学系 |
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| 基金项目： | 陕西省教委自然科学基金资助项目. |
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| 摘 要： | 本文首先将常曲率黎曼流形中Ｂ．Ｙ．Ｃｈｅｎ和Ｍ．Ｏｋｕｍｕｒａ关于数量曲率和截面曲率关系间的一个著名不等式推广到环绕空间是局部对称共形平坦黎曼流形的情形．作为应用，较简捷地将Ｍ．Ｏｋｕｍｕｒａ在［２］，［３］中的结果推广到这种环绕空间中法联络是平坦的子流形上去．
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| 关 键 词： | 子流形 局部对称 共形平坦 |
Submanifolds with Flat Connection of Normal Bundle and the Second Fundamental Tensors |
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| Shu Shichang.Submanifolds with Flat Connection of Normal Bundle and the Second Fundamental Tensors[J].Journal of Mathematical Research with Applications,1997,17(3):463-468. |
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| Authors: | Shu Shichang |
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| Abstract: | An inequality of B.Y.Chen and M.Okumura in constant curvature Riemannian maniffold is generalized to submanifold in a locally symmetric and conformally flat Riemannian manifold. As an application, the theorems of M.Okumura in 2],3] are generalized and improved. |
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| Keywords: | submanifold locally symmetric conformally flat |
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