Almost commensurability of 3-dimensional Anosov flows

Pierre Dehornoy (1)

1 Mathematisches Institut [Bern]

Two flows are 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: 3-dimensional flow; commensurability; Anosov flow; geodesic flow

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

Pierre Dehornoy. Almost commensurability of 3-dimensional Anosov flows. 2013. ⟨hal-00789091v1⟩