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Caractérisation des flots d' Anosov en dimension 3 par leurs feuilletages faibles

Published online by Cambridge University Press:  19 September 2008

Thierry Barbot
Thierry Barbot
Affiliation:
Laboratoire de Topologie URA 755 du CNRS, Université de Bourgogne, BP 138, 21004 Dijon, France
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Abstract

We consider Anosov flows on closed 3-manifolds. We show that if such a flow admits a weak foliation whose lifting in the universal covering is a product foliation, thenit is characterized up to topological equivalence by its weak stable foliation up to topological conjugacy. As a corollary we obtain that, up to topological equivalence and finite coverings, suspensions and geodesic flows are the unique Anosov flows on closed 3-manifolds whose weak stable foliations are transversely projective.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 2 , April 1995 , pp. 247 - 270
Copyright
Copyright © Cambridge University Press 1995

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