Chinese Quarterly Journal of Mathematics ›› 2001, Vol. 16 ›› Issue (3): 1-7.

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CR-submanifolds in Almost Hermitian Manifold 

  

  1. 中国科技大学数学系 安微合肥230026
  • Received:2000-09-20 Online:2001-09-30 Published:2024-05-30
  • About author:XU Zhi-cai(1958-),male,native of Shouxian,Anhui,a professor of Huainan Institute of Technology,engages in differential geometry;XU Sen-lin(1943-),male,native of Wuxian,Jiangsu‚a professor of University of Science and Technology of China,engages in differential geometry and topology.
  • Supported by:
    Supported by the National Natural Science Foundation of China(1997108)

Abstract: 本文研究了殆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 ,特别 ,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 HB >0的近Kaehler流形 ,那么 M不允许有混合叶层非凡的CR子流形. 

Key words: 子流形, 复流形, 殆复流形, 分布, 可积性,  ,

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