摘要
利用谱序列方法,作者证明了紧致局部共形Khler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Frlicher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Khler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.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第3期465-469,共5页
Journal of Sichuan University(Natural Science Edition)
