光滑流形上的非线性结构
Parallelism Structure on a Smooth Manifold
摘要：
利用扩张子理论，我们给出了任意光滑流形上的平行结构理论。引入了两种Cartan连接运算符，并且都出现在固有版本中（即，框架独立）的第一和第二嘉当结构方程。此外，还研究了在理解引力场几何理论中起重要作用的变形平行结构和相对平行结构的概念。
英文摘要：
Using the theory of extensors developed in a previous paper we present a theory of the parallelism structure on arbitrary smooth manifold. Two kinds of Cartan connection operators are introduced and both appear in intrinsic versions (i.e., frame independent) of the first and second Cartan structure equations. Also, the concept of deformed parallelism structures and relative parallelism structures which play important role in the understanding of geometrical theories of the gravitational field are investigated.
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