Free Seifert pieces of pseudo-Anosov flows

We prove a structure theorem for pseudo-Anosov flows restricted to Seifert fibered pieces of three manifolds. The piece is called periodic if there fibration so that regular fiber freely homotopic, up powers, closed orbit the flow. A non free. In previous paper [Ba-Fe1] we described flow isotopy along present consider free pieces. show that, in carefully defined neighborhood piece, orbitally equivalent hyperbolic blow geodesic piece. finite cover on compact surface, usually with boundary. proof introduce almost k-convergence groups and convergence theorem. also an alternative model surface suitable these results, define what up.