Ergodic Theory and Dynamical Systems

Research Article

Propriétés ergodiques, en mesure infinie, de certains systèmes dynamiques fibrés

Y. Guivarc'ha1

a1 IRMAR, Mathematiques Université de Rennes I-35042 Rennes Cedex, France

Abstract

We study the ergodic properties of a class of dynamical systems with infinite invariant measure. This class contains skew-products of Anosov systems with d. The results are applied to the K property of skew-products and also to the ergodicity of the geodesic flow on abelian coverings of compact manifolds with constant negative curvature.

(Received July 20 1987)

(Revised January 17 1989)