Abstract
Throughout this paper, Anosov flows ~t:M ~M are volume preserving (a nontrivial assumption in light of Franks and Williams' recent example), and their ambient manifolds M are compact, orientable and three dimensional. Our purpose is to present a simple construction that yields a family of C ~ smooth, nonalgebraic (definitions below) Anosov flows. The existence of a volume-preserving Anosov flow ~ on a given manifold M 3 has immediate corollaries. The stable and unstable foliations are codimension one and minimal. By reparameterizing �9 if necessary, the flows (called horocycle flows) generated by the strong stable and strong unstable foliations are also minimal. We therefore have the relations
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