English

On the Number of Periodic Points for Expansive Pseudo-Groups

Dynamical Systems 2024-10-24 v1

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.

Keywords

Cite

@article{arxiv.2310.07169,
  title  = {On the Number of Periodic Points for Expansive Pseudo-Groups},
  author = {Pablo D. Carrasco and Elias Rego and Jana Rodriguez-Hertz},
  journal= {arXiv preprint arXiv:2310.07169},
  year   = {2024}
}

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10 pages