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arXiv · 2310.07169

On the Number of Periodic Points for Expansive Pseudo-Groups

Pablo D. Carrasco·Elias Rego·Jana Rodriguez-Hertz
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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.

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Pablo D. Carrasco, Elias Rego, Jana Rodriguez-Hertz. 2023-10-11. On the Number of Periodic Points for Expansive Pseudo-Groups. https://doi.org/10.1016/j.chaos.2024.115245

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