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On the number of periodic points for expansive pseudogroups

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  • Carrasco, Pablo D.
  • Rego, Elias
  • Rodriguez Hertz, Jana

Abstract

We consider weakly expansive holonomy pseudogroup foliations of compact manifolds. Our main results show the number of compact leaves is generally countable, and at most finite for codimension-one cases. We show examples of such foliations, demonstrating the results are sharp.

Suggested Citation

  • Carrasco, Pablo D. & Rego, Elias & Rodriguez Hertz, Jana, 2024. "On the number of periodic points for expansive pseudogroups," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    • Handle: RePEc:eee:chsofr:v:186:y:2024:i:c:s0960077924007975
    DOI: 10.1016/j.chaos.2024.115245
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    Keywords

    Expansive foliations; Epstein filtration;

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