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)


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
Full Text: DOI