Counting periodic orbits of Anosov flows in free homotopy classes

DOI10.4171/CMH/421zbMath1386.37028arXiv1505.07999OpenAlexW2962908006MaRDI QIDQ1681630

Sérgio R. Fenley, Thomas Barthelmé

Publication date: 24 November 2017

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.07999

zbMATH Keywords

Anosov flowcounting orbits

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) General geometric structures on low-dimensional manifolds (57M50) Periodic orbits of vector fields and flows (37C27) Foliations in differential topology; geometric theory (57R30) Dynamical systems with hyperbolic orbits and sets (37D05)

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Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds ⋮ Orbit equivalences of \(\mathbb{R}\)-covered Anosov flows and hyperbolic-like actions on the line. With an appendix written jointly with Jonathan Bowden ⋮ Construction of Anosov flows in dimension 3 by gluing blocks ⋮ Research Announcement: Partially Hyperbolic Diffeomorphisms Homotopic to the Identity on 3-Manifolds ⋮ Anosov flows, growth rates on covers and group extensions of subshifts ⋮ Orbit growth of contact structures after surgery

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