论文标题

保守的表面同构具有有限的周期性

Conservative surface homeomorphisms with finitely many periodic points

论文作者

Calvez, Patrice Le

论文摘要

该文章的目的是表征封闭的封闭式表面$ s $属$ \ geq 2 $的保守同构,这些属于$ \ geq 2 $,这些属于有限的定期点。在保守派中,我们的意思是一张没有流浪点的地图。作为一种特殊情况,当$ s $提供符号形式时,我们表征了$ s $的符号差异,并有限多个周期性点。

The goal of the article is to characterize the conservative homeomorphisms of a closed orientable surface $S$ of genus $\geq 2$, that have finitely many periodic points. By conservative, we mean a map with no wandering point. As a particular case, when $S$ is furnished with a symplectic form, we characterize the symplectic diffeomorphisms of $S$ with finitely many periodic points.

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