40 citations · 134 across the 33 of their papers we have counts for
20 papers · 1 filter
Hyperbolicity of complements of orbits in Anosov flows
Sergio Fenley, Tali Pinsky, Mario Shannon
We show that if an Anosov flow on a 3-dimensional manifold has orientable stable and unstable foliations, then the complement of any filling periodic orbit is a hyperbolic manifold…
Exotic codimension one Anosov flows
Sergio Fenley, Kathryn Mann, Rafael Potrie
We construct Anosov flows in certain circle bundles over closed hyperbolic 3-manifolds, producing counterexamples to a conjecture of Verjovsky. Some of these 4-manifolds admit infi…
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…
Reconstructing flows from the orbit space
Thomas Barthelmé, Sergio Fenley, Kathryn Mann
We give some simple conditions under which a group acting on a bifoliated plane comes from the induced action of a pseudo-Anosov flow on its orbit space. An application of the stra…
Anosov flows with the same periodic orbits
Thomas Barthelmé, Sergio Fenley, Kathryn Mann
In [Orbit equivalences of pseudo-Anosov flows, arXiv:2211.10505], it was proved that transitive pseudo-Anosov flows on any closed 3-manifold are determined up to orbit equivalence…
New Classes of Quasigeodesic Anosov Flows in -Manifolds
Anindya Chanda, Sergio Fenley
Quasigeodesic behavior of flow lines is a very useful property in the study of Anosov flows. Not every Anosov flow in dimension three is quasigeodesic. In fact up to orbit equivale…