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## Classes d'équivalences orbitales de relevés de flots géodésiques

Thierry Barbot
Sérgio Fenley
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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.

### Dates and versions

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

Public Domain

### Identifiers

• HAL Id : hal-03657558 , version 1
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### Cite

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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