Almost commensurability of 3-dimensional Anosov flows

Pierre Dehornoy (1)

1 Mathematisches Institut [Bern]

Two flows are topologically almost commensurable if, up to removing finitely many periodic orbits and taking finite coverings, they are topologically equivalent. We prove that all suspensions of automorphisms of the 2-dimensional torus and all geodesic flows on unit tangent bundles to hyperbolic 2-orbifolds are pairwise almost commensurable.

Mots clés: commensurability; 3-dimensional flow; Anosov flow; geodesic flow

Domaines: Topologie géométrique [math.GT]; Systèmes dynamiques [math.DS]

Pierre Dehornoy. Almost commensurability of 3-dimensional Anosov flows. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2013, 351 (3-4), pp.127-129. ⟨10.1016/j.crma.2013.02.012⟩. ⟨hal-00789091v2⟩