本文引入并研究了叶层结构的定向性，作为应用，讨论了李群在流形上的自由作用，给出了存在李群自由作用的一个必要条件。
In this paper, the orientability of foliations was investigated, and an application to the free action of Lie groups on manifolds was given as well.
结合李群李代数方法，系统地研究了多特征的位形空间理论，给出了定向公差约束子流形的局部参数显式表达。
A systematic introduction to the theory of configuration space of multi-features is given, appealing to Lie groups and algebras.
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