论文标题

环的扭曲图:抽象的观点

Twist maps of the annulus: an abstract point of view

论文作者

Calvez, Patrice Le

论文摘要

我们在两个封闭环的两个径向叶子定义的点上引入了抽象角度的概念。我们使用这个概念来提供有关通过升压定理和中间值定理来保留环形扭曲图的一些经典结果的统一证据。

We introduce the notion of abstract angle at a couple of points defined by two radial foliations of the closed annulus. We use this notion to give unified proofs of some classical results on area preserving positive twist maps of the annulus by using the Lifting Theorem and the Intermediate Value Theorem.

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