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Anosov flows with differentiable stable and unstable distributions. (Flots d’Anosov à distributions stable et instable différentiables.) (French) Zbl 0759.58035

The authors describe which Anosov flows on compact manifolds have \(C^ \infty\) stable and unstable distributions and a contact canonical 1-form; up to finite coverings and up to a \(C^ \infty\) change of parameters, each of them is isomorphic to a geodesic flow on the unit tangent bundle of a compact locally symmetric space of strictly negative curvature.
Reviewer: Y.Kozai (Tokyo)

MSC:

37D99 Dynamical systems with hyperbolic behavior
37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
53D25 Geodesic flows in symplectic geometry and contact geometry
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