6 citations · 8 across the 3 of their papers we have counts for
7 papers · 1 filter
Orbit equivalences of pseudo-Anosov flows
Thomas Barthelmé, Steven Frankel, Kathryn Mann
We prove a classification theorem for transitive Anosov and pseudo-Anosov flows on closed 3-manifolds, up to orbit equivalence. In many cases, flows on a 3-manifold are complet…
Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms
Thomas Barthelmé, Sergio Fenley, Steven Frankel +1
We show that if a partially hyperbolic diffeomorphism of a Seifert manifold induces a map in the base which has a pseudo-Anosov component then it cannot be dynamically coherent. Th…
Centralizers of partially hyperbolic diffeomorphisms in dimension 3
Thomas Barthelmé, Andrey Gogolev
In this note we describe centralizers of volume preserving partially hyperbolic diffeomorphisms which are homotopic to identity on Seifert fibered and hyperbolic 3-manifolds. Our p…
Geometry and entropies in a fixed conformal class on surfaces
Thomas Barthelmé, Alena Erchenko
We show the flexibility of the metric entropy and obtain additional restrictions on the topological entropy of geodesic flow on closed surfaces of negative Euler characteristic wit…
Partially hyperbolic diffeomorphisms homotopic to the identity on 3-manifolds
Thomas Barthelmé, Sergio Fenley, Steven Frankel +1
We announce some results towards the classification of partially hyperbolic diffeomorphisms on 3-manifolds, and outline the proofs in the case when the diffeomorphism is dynamicall…
Flexibility of geometrical and dynamical data in fixed conformal classes
Thomas Barthelmé, Alena Erchenko
Consider a smooth closed surface of fixed genus with a hyperbolic metric of total area . In this article, we study the behavior of geometric and dynamical…