Flots d’Anosov à distributions stable et instable différentiables

Abstract

We describe which Anosov flows on compact manifolds have C ∞ {C^\infty } stable and unstable distributions and a contact canonical 1 1 -form: up to finite coverings and up to a C ∞ {C^\infty } change of parameters, each of them is isomorphic to the geodesic flow on (the unit tangent bundle of) a compact locally symmetric space of strictly negative curvature.