## Propriétés ergodiques, en mesure infinie, de certains systèmes dynamiques fibrés. (Ergodic properties, in infinite measure, of certain fibered dynamical systems).(French)Zbl 0693.58011

Summary: We study the ergodic properties of a class of dynamical systems with infinite invariant measure. This class contains skew-products of Anosov systems with $${\mathbb{R}}^ d$$. 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.

### MSC:

 37A99 Ergodic theory 37C10 Dynamics induced by flows and semiflows
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### References:

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