2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129182A foliation is R-covered if the leaf space in the universal cover is homeomorphic to the real numbers. We show that, up to topological conjugacy, there are at most two pseudo-Anosov flows transverse to such a foliation. If there are two, then the foliation is weakly conjugate to the the stable foliation of an R-covered Anosov flow. The proof uses the universal circle to R-covered foliations.20 pagesGeometric TopologyDynamical Systems37C15, 37D20, 37C85, 37D50Rigidity of pseudo-Anosov flows transverse to R-covered foliationstext