paper

On the Number of Periodic Points for Expansive Pseudo-Groups

arXiv:2310.07169 · doi:10.1016/j.chaos.2024.115245

Abstract

In this work we consider foliations of compact manifolds whose holonomy pseudo-group is expansive, and analyze their number of compact leaves. Our main result is that in the codimension-one case this number is at most finite, and we give examples of such foliations having one compact leaf.

10 pages

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