Geometric Anosov flows of dimension five with smooth distributions

Details Geometric Anosov flows of dimension five with smooth distributions Geometric Anosov flows of dimension five with smooth distributions

2005-03-10

arxiv.org/abs/math/0503189v1

Mathematics

Dynamical Systems

Our classification finishes the work of A.Katok and R.Feres concerning such flows (see their article about these flows in ETDS

Scientific paper

We classify five dimensional Anosov flows with smooth decomposition which are
in addition transversely symplectic. Up to finite covers and a special time
change, we find exectly the suspensions of symplectic hyperbolic automorphisms
of four dimensional toris, and the geodesic flows of three dimensional
hyperbolic manifolds.

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