Anosov flows in 3-manifolds (Q1319112)

The author characterizes the topological structure in the universal cover of the stable and unstable foliations of Anosov flows on 3-manifolds. The class of Anosov flows in 3-manifolds is described for which every closed orbit of the flow is freely homotopic to infinitely many other closed orbits. The author proves that an Anosov flow in \(M^ 3\) with negatively curved fundamental group is not quasigeodesic (and even no dense orbit of the flow is quasigeodesic) provided both the stable and unstable foliations are covered by reals. Numerous nonclassical examples obtained by applying Dehn surgery to suspensions and geodesic flows are studied.