紧致局部共形Kahler流形上Morse-Novikov上同调群的一个关系  

A relation of Morse-Novikov cohomology groups on compact locally conformal Kahler manifold

作　　者：杨向东[1] 郑泉[1] 

机构地区：[1]四川大学数学学院,成都610064

出　　处：《四川大学学报（自然科学版）》2013年第3期465-469,共5页Journal of Sichuan University(Natural Science Edition)

摘　　要：利用谱序列方法,作者证明了紧致局部共形Khler流形上关于Morse-Novikov上同调群的一个关系,这个关系可以看作一般紧致复流形上Frlicher关系的类比.同时,作者证明了在维数大于2的对角Hopf流形上存在局部共形Khler结构,使得其Morse-Novikov上同调群分别满足对称性和直和性.Using the spectral sequence, the authors proved a relation of Morse-Novikov cohomology groups on a compact locally conformal Kahler manifold, which can be viewed as an analogy of Froelicher relation of a compact complex manifold. At the same time the authors proved that there exist locally conformal Kahler structures on a diagonal Hopf manifold with dimension 〉2, such that it＇s Morse-Novikov cohomology groups hold the symmetry and a direct sum decomposition respectively.

关 键 词：局部共形Kahler流形 Morse-Novikov上同调 对角Hopf流形 

分 类 号：O186.1[理学—数学]