| 殆Hermitian流形中的CR子流形 |
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| 引用本文： | 许志才,李海中. 殆Hermitian流形中的CR子流形[J]. 安徽理工大学学报(自然科学版), 1991, 0(3) |
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| 作者姓名： | 许志才 李海中 |
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| 作者单位： | 淮南矿业学院基础课部(许志才)，郑州大学数学系(李海中) |
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| 摘 要： | 本文首先研究了殆Kaehler流形中CR子流形的上同调、CR子流形的分布D及其正交补D的可积性,这些研究是文献〔1〕、〔3〕、〔6〕及〔8〕中有关结果的推广。另外,当D的维数大于1的时候,近Kaehler流形中每个全脐非平凡的CR子流形一定是全测地的。最后得到:如果M是具有H_B>0的近Kaehler流形,那么M不允许有混合叶层非凡的CR子流形。
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| 关 键 词： | 子流形 复流形 殆复流形 分布 可积性 |
CR - submanifoles of Almost Hermitian Manifold |
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| Xu Zhicai Li Haizhong. CR - submanifoles of Almost Hermitian Manifold[J]. Journal of Anhui University of Science and Technology:Natural Science, 1991, 0(3) |
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| Authors: | Xu Zhicai Li Haizhong |
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| Affiliation: | Xu Zhicai Li Haizhong(Centre of Basic Courses) ( Zhengzhou University) |
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| Abstract: | Studies are made of the cohomology of CR-submanifolds and the integrability of distributions D and D(?) of CR- submanifolds in an almost Kaehler manifold, as extensions of the results in [1] , [3] , [6] and [8] . Totally umbilical non-trivial CR-submanifolds in a nearly Kaehler manifold must be totally geodesic unless the dimensions of their orthogonal complement D(?) are not larger than I.Finally, M admits no mixed foliate non-trivial CR-submanifolds if M is a nearly Kaehler manifold with HB>0 . |
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| Keywords: | submanifolds complex manifold almost complex manifold distribution integral/totally umbilical submanifolds |
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