某些三维Hopf流形的性质  

The character of some three-dimensional Hopf manifold

作　　者：杨永举[1] 田颢[1] 

机构地区：[1]南阳师范学院数学与统计学院,河南南阳473061

出　　处：《南阳师范学院学报》2009年第3期14-15,共2页Journal of Nanyang Normal University

基　　金：南阳师范学院专项项目(nytc2005k37)

摘　　要：利用流形上流和万有覆盖理论,构造了特殊Hopf流形上的一个叶状结构,并讨论了这个叶状结构与此流形上符合一定条件的函数的联系.另外,又证明了某类Hopf流形上不存在闭的(1,1)阶微分形式.In this paper , foliations of some kind three-dimensional Hopf manifold were constructed by applications of theory of universal covering and flow and the link between foliations and some function which is satisfied with some conditions was discussed. That closed（ 1,1 ） form on some Hopf manifold does not exist was also proved.

关 键 词：HOPF流形 流 叶状结构 微分形式 

分 类 号：O174.56[理学—数学]