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

Published online by Cambridge University Press:  19 September 2008

Etienne Ghys
Etienne Ghys
Affiliation:
Université des Sciences et Techniques de LilleI, 59650 Villeneuve d'Ascq, France
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Abstract

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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 4 , Issue 1 , March 1984 , pp. 67 - 80
Copyright
Copyright © Cambridge University Press 1984

References

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