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Orbital equivalence classes of finite coverings of geodesic flows

Classes d'équivalences orbitales de relevés de flots géodésiques

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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.
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hal-03657558 , version 1 (04-05-2022)

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Public Domain

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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⟩
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