Orbital equivalence classes of finite coverings of geodesic flows

2022/05/05 by Thierry Barbot, Sérgio R. Fenley, Barbot, Thierry +1
Mathematics · Computer Science · #Mathematical Dynamics and Fractals #Geometric and Algebraic Topology #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2205.02495

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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