Abstract : Let $M$ be a closed 3-manifold admitting a finite cover of index n along the fibers over the unit tangent bundle of a closed surface.
We prove that if n is odd, there is only one Anosov flow on M up to orbital equivalence, and if n is even, there are two orbital equivalence classes of Anosov flows on M.
https://hal-univ-avignon.archives-ouvertes.fr/hal-03657558 Contributor : Thierry BarbotConnect in order to contact the contributor Submitted on : Wednesday, May 4, 2022 - 12:59:56 PM Last modification on : Friday, May 6, 2022 - 3:16:33 AM
Thierry Barbot, Sérgio Fenley. Orbital equivalence classes of finite coverings of geodesic flows: Orbital equivalence classes of finite coverings of geodesic flows. 2022. ⟨hal-03657558⟩