| 关于法丛平坦子流形的余维数减少定理 |
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| 引用本文： | 乐进 吴传喜. 关于法丛平坦子流形的余维数减少定理[J]. 湖北大学学报(自然科学版), 1991, 13(1): 32-37 |
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| 作者姓名： | 乐进 吴传喜 |
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| 作者单位： | 湖北大学数学系(乐进)，湖北大学数学系(吴传喜) |
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| 摘 要： | 本文研究局部对称共形平坦空间中具有平坦法丛子流形,得到了一个关于第二基本形式长度平方的Pinching定理,使得子流形的余维数可由任意的p减少到1。在此基础上,我们还得到了若干重要的应用。
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| 关 键 词： | 子流形 平坦法丛 余维数 |
THEOREMS ON THE REDUCTION OF THE CODIMENSION OF THE SUBMANIFOLDS WITH FLAT NORMAL BOUNDLE |
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| Yue Jing Wu Chuanxi. THEOREMS ON THE REDUCTION OF THE CODIMENSION OF THE SUBMANIFOLDS WITH FLAT NORMAL BOUNDLE[J]. Journal of Hubei University(Natural Science Edition), 1991, 13(1): 32-37 |
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| Authors: | Yue Jing Wu Chuanxi |
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| Affiliation: | Department of Mathematics |
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| Abstract: | This pote deais with the compact submanifolds with flat normal boundle in locally symmetric conformaily Hat spaces.a theorem on the square of the length of the second fundamental form such that the codimension of the submanifolds can be reduced from arbitrary p t' 1 is obtained. Basing on this result,some important applications are given. |
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| Keywords: | Submanifolds Flat normal boundle Reduction of the codimension. |
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