78 citations · 288 across the 45 of their papers we have counts for
5 papers · 2 filters
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…
Finiteness of partially hyperbolic attractors with one-dimensional center
Sylvain Crovisier, Rafael Potrie, Martín Sambarino
We prove that the set of diffeomorphisms having at most finitely many attractors contains a dense and open subset of the space of partially hyperbolic diffeomorphisms with on…
Anomalous partially hyperbolic diffeomorphisms III: abundance and incoherence
Christian Bonatti, Andrey Gogolev, Andy Hammerlindl +1
Let be a closed 3-manifold which admits an Anosov flow. In this paper we develop a technique for constructing partially hyperbolic representatives in many mapping classes of $M…
Classification of systems with center-stable tori
Andy Hammerlindl, Rafael Potrie
This paper gives a classification of partially hyperbolic systems in dimension 3 which have at least one torus tangent to the center-stable bundle.
Seifert manifolds admitting partially hyperbolic diffeomorphisms
Andy Hammerlindl, Rafael Potrie, Mario Shannon
We characterize which 3-dimensional Seifert manifolds admit transitive partially hyperbolic diffeomorphisms. In particular, a circle bundle over a higher-genus surface admits a tra…