Geometric Anosov flows of dimension five with smooth distributions
Abstract
Description
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.
Our classification finishes the work of A.Katok and R.Feres concerning such flows (see their article about these flows in ETDS, 90'). Our article is to appear in Journal of the Institut of Mathematics of Jussieu, and a note of this article has already appeared in C.R.Acad.Sci. 336 (2003) 419-422
Our classification finishes the work of A.Katok and R.Feres concerning such flows (see their article about these flows in ETDS, 90'). Our article is to appear in Journal of the Institut of Mathematics of Jussieu, and a note of this article has already appeared in C.R.Acad.Sci. 336 (2003) 419-422