Ergodic Theory and Dynamical Systems

Research Article

Flots d'Anosov sur les 3-variétés fibrées en cercles

Etienne Ghysa1

a1 Université des Sciences et Techniques de Lille I, 59650 Villeneuve d'Ascq, France

Abstract

We consider Anosov flows on closed 3-manifolds which are circle bundles. Our main result is that, up to a finite covering, these flows are topologically equivalent to the geodesic flow of a suface of constant negative curvature. The same method shows that, if M is a closed hyperbolic manifold of any dimension, all the geodesic flows which correspond to different metrics on M and which are of Anosov type are topologically equivalent.

(Received July 15 1982)

(Revised June 06 1983)