基于纤维丛表述的李变换群延拓群算子

Prolongation Operator of Lie Transformation Group of According to Fibre Bundle Express

本文提出积流形李变换群延拓群的概念，并应用纤维丛方法解决延拓群算子中的系数问题，进而讨论其在黎曼流形中的一个应用．

In the article we advance the concept of prolongation group of Lie transformation group in a visual and pithy way, and resolve the coefficient problem of prolongation operator.