摘要
利用函数变换考察了Lie括号的变换形式,得到了具有普遍性的结构Lie括号,证明了在微分同胚下向量场间的结构Lie括号一个重要定理形式.
The transformation form of Lie brackets is investigated by means of function transformation.The general structural Lie brackets is obtained and an important theorem of structural Lie brackets between vector fields under differential homeomorphism is proved.
作者
王根
母贵
WANG Gen;MU Gui(Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China;School of Mathematical Sciences,Fudan University,Shanghai 200433,China;Department of Mathematics,Kunming University,Kunming 650214,China)
出处
《南阳师范学院学报》
CAS
2019年第3期14-17,共4页
Journal of Nanyang Normal University
关键词
函数交换
Lie括号
微分同胚
结构Lie括号
function transformation
Lie brackets
differential homeomorphism
structural Lie brackets
