On the Number of Periodic Points for Expansive Pseudo-Groups


Journal article


Pablo D. Carrasco, Elias Rego, Jana Rodriguez-Hertz
arXiv:2310.07169, 2023

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APA   Click to copy
Carrasco, P. D., Rego, E., & Rodriguez-Hertz, J. (2023). On the Number of Periodic Points for Expansive Pseudo-Groups. ArXiv:2310.07169.


Chicago/Turabian   Click to copy
Carrasco, Pablo D., Elias Rego, and Jana Rodriguez-Hertz. “On the Number of Periodic Points for Expansive Pseudo-Groups.” arXiv:2310.07169 (2023).


MLA   Click to copy
Carrasco, Pablo D., et al. “On the Number of Periodic Points for Expansive Pseudo-Groups.” ArXiv:2310.07169, 2023.


BibTeX   Click to copy

@article{pablo2023a,
  title = {On the Number of Periodic Points for Expansive Pseudo-Groups},
  year = {2023},
  journal = {arXiv:2310.07169},
  author = {Carrasco, Pablo D. and Rego, Elias and Rodriguez-Hertz, Jana}
}

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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