切模丛的构造及其性质研究

Study on Constructions and Properties of Tangent Module Bundles

本文在流形上构造了切模丛,在切模丛上给出了光滑结构使它成为一个光滑流形,然后讨论了切模丛的性质并给出了该模丛上的Poisson括号积使它成为一个李代数.

In this paper,the tangent module bundles are constructed on a manifold.It gives a smooth structure on the tangent module bundles which makes it a smooth manifold.Then we discuss the properties of the tangent module bundles and give the bracket product of Poisson on the module bundles such that it is a Lie algebra.