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# Orbital equivalence classes of finite coverings of geodesic flows: Orbital equivalence classes of finite coverings of geodesic flows

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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Document type :
Preprints, Working Papers, ...
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https://hal-univ-avignon.archives-ouvertes.fr/hal-03657558
Contributor : Thierry Barbot Connect 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

### Files

cover.pdf
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Public Domain

### Identifiers

• HAL Id : hal-03657558, version 1
• ARXIV : 2205.02495

### Citation

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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