Published online by Cambridge University Press: 17 April 2001
We consider Anosov flows in 3-manifolds.Suppose that there is a rank-two free abelian subgroupof the fundamental group of the manifold, so that none of itselements can be represented by a closed orbit of the flow.We then show that the flow is topologically conjugate to a suspensionof an Anosov diffeomorphism. As a consequence we prove that if $T$is an incompressible torus so that no loop in$T$ is freely homotopic to a closed orbit of the flow,then $T$ is isotopic to a transverse torus.Finally, we show that if $T$ is an incompressible torustransverse to the stable foliation, then eitherthere is a closed leaf in the induced foliationin $T$, or the flow is topologically conjugate toa suspension Anosov flow.