殆Hermitian流形中的CR子流形  

CR - submanifoles of Almost Hermitian Manifold

作　　者：许志才[1] 李海中[2] 

机构地区：[1]淮南矿业学院基础课部 [2]郑州大学数学系

出　　处：《淮南矿业学院学报》1991年第3期112-118,77,共8页

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。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 .

关 键 词：子流形 复流形 殆复流形 可积性 

分 类 号：O189.33[理学—数学]