78 citations · 288 across the 45 of their papers we have counts for
4 papers · 1 filter
Partially hyperbolic diffeormorphisms, ergodicity, and transverse foliations in dimension 3
S. R. Fenley, R. Potrie
We give a complete topological classification of (chain-)transitive partially hyperbolic diffeomorphisms in 3-manifolds in terms of Anosov flows, completing a program proposed by P…
Invariant sets for homeomorphisms of hyperbolic 3-manifolds
Elena Gomes, Santiago Martinchich, Rafael Potrie
We prove that under some assumptions on how points escape to infinity in the universal cover, homeomorphisms of hyperbolic 3-manifolds are forced to have several invariant sets (in…
Horizontality of partially hyperbolic foliations
Andy Hammerlindl, Rafael Potrie
We show exactly which Seifert manifolds support partially hyperbolic dynamical systems. In particular, a circle bundle over a higher-genus surface supports a partially hyperbolic s…
On transverse -covered minimal foliations
Thierry Barbot, Sergio R. Fenley, Rafael Potrie
We study minimal transverse foliations which are -covered. If in addition the dimension of the ambient manifold is , and the foliations are Anosov foliations we give necessar…