2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74456In this article, we give a quasi-final classification of quasiconformal Anosov flows. We deduce a very interesting differentable rigidity result for the orbit foliations of hyperbolic manifold of dimension at least three.This article is sumitted to Annale Scientifique de l'Ecole Normale Supérieure. Our result is to be compared to a theorem of E.Ghys concerning topological classification of Anosov flows on the unitary bundles of hyperbolisable manifolds (see his article in ETDS, 80')Dynamical Systems36D20, 37D35, 37D40, 53C05, 53C30text