论文标题
正式框架和仿射连接的变形
Formal frames and deformations of affine connections
论文作者
论文摘要
我们将介绍形式的歧管框架，这是普通框架的概括。讨论了他们的基本属性。特别是，引入了规范形式，并根据结构方程的概括来定义扭转。可以证明，消失的扭转等同于给定形式框架作为普通帧的可靠性。我们还将讨论切线束上线性连接的变形。然后给出叶变形的应用。
We will introduce formal frames of manifolds, which are a generalization of ordinary frames. Their fundamental properties are discussed. In particular, canonical forms are introduced, and torsions are defined in terms of them as a generalization of the structural equations. It will be shown that the vanishing of torsions are equivalent to the realizability of given formal frames as ordinary frames. We will also discuss deformations of linear connections on tangent bundles. An application to deformations of foliations are then given.
