摘要
本文证明了(2n+1)维连通实Lie群具有殆仿切触结构,并给出它们是可积的充要条件,从而给出这类流形一批新的例子。它们与过去已知的这类流形大都是满足某些条件的仿复流形上的主圆丛不同。
In this paper, it is proved that there are almost paracontact structures on (2n +1)-dimensional connected real Lie groups and a necessary and sufficient condition for the integrability of these structures is given. Therefore a kind of new examples of almost paracontact and paracontact manifolds are given. They are different from the known examples which are mainly the principal circle bundles over the pa-racomplex manifolds satisfying some conditions.
出处
《数学进展》
CSCD
北大核心
1993年第4期354-357,共4页
Advances in Mathematics（China）
基金
国家自然科学基金
关键词
殆仿切触结构
李群
流形
almost paracontact structures
Lie groups
