摘要
文章讨论了李群胚作为丛的一些性质,得出李群胚的内子群胚是主丛的结论;研究了李群胚在其内子群胚上的作用,并证明了李群胚上的Maurer-cartan形式在其任意左不变向量场上作用的结果为常数.文末推广了关于李代数胚态射的一个结论.
In this paper, we discussed some properties of Lie groupoids as a bundle, and obtained the conclusion that its Inner subgroupoids is a principal bundle. Studied the actions of Lie groupoids on its Inner subgroupoids, proved the result that its Maurer-Cartan forms acting on left invariant vector field is a constant. A proposition about the morphisms of Lie algebroids is generalized.
出处
《应用数学》
CSCD
北大核心
2006年第4期731-736,共6页
Mathematica Applicata
基金
Supported by National Natural Science Foundation of China (10472100)
