English

A Sm\"org\aa sbord of (bi)contact structures, Reeb flows and pseudo-Anosov flows

Dynamical Systems 2025-02-12 v1 Geometric Topology

Abstract

This note was written for the proceedings of the conference "Symplectic Geometry and Anosov Flows" held in Heideleberg in July 2024. It is meant as an invitation to the study of certain families of contact structures, centering around the following question: ``How much can one relate the dynamics of two distinct Reeb flows of the same contact structure?'' We gather some results as well as state many more questions and conjectures around that theme.

Keywords

Cite

@article{arxiv.2502.07716,
  title  = {A Sm\"org\aa sbord of (bi)contact structures, Reeb flows and pseudo-Anosov flows},
  author = {Thomas Barthelmé},
  journal= {arXiv preprint arXiv:2502.07716},
  year   = {2025}
}

Comments

15 pages. Comments welcome