Expansive flows on Seifert manifolds and on torus bundles

We show that any expansive flow on a 3-manifold which is a Seifert fibration or a torus bundle overS ¹ is topologically equivalent to a transitive Anosov flow. This is achieved by analyzing the trace of the stable foliation (with singularities) of the flow on incompressible tori embedded in such a manifold.