Abstract
We prove a conjecture of Calegari's, that every quasigeodesic flow on a closed hyperbolic 3-manifold contains a closed orbit.
Citation
Steven Frankel. "Coarse hyperbolicity and closed orbits for quasigeodesic flows." Ann. of Math. (2) 188 (1) 1 - 48, July 2018. https://doi.org/10.4007/annals.2018.188.1.1
Information
Published: July 2018
First available in Project Euclid: 21 December 2021
Digital Object Identifier: 10.4007/annals.2018.188.1.1
Subjects:
Primary:
37C27
,
57M50
,
57M60
Keywords:
Closed orbits
,
hyperbolic dynamics
,
hyperbolic manifolds
,
periodic orbits
,
Pseudo-Anosov flows
,
quasigeodesic flows
Rights: Copyright © 2018 Department of Mathematics, Princeton University
