40 citations · 134 across the 33 of their papers we have counts for
17 papers · 1 filter
Simultaneous universal circles and continuous extension
Sérgio R. Fenley, Michael P. Landry, Samuel J. Taylor
Fenley proved that any foliation almost transverse to a quasigeodesic pseudo-Anosov flow in a closed atoroidal 3-manifold has the continuous extension property, meaning the inclusi…
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…
Intersection of transverse foliations in 3-manifolds: Hausdorff leafspace implies leafwise quasi-geodesic
Sergio R. Fenley, Rafael Potrie
Let and be transverse two dimensional foliations with Gromov hyperbolic leaves in a closed 3-manifold whose fundamental group is not solvable, a…
Transverse minimal foliations on unit tangent bundles and applications
Sergio R. Fenley, Rafael Potrie
We show that if and are two transverse minimal foliations on then either they intersect in an Anosov foliation or there exists a Reeb-sur…
Leafwise Quasigeodesic Foliation in Dimension Three and the Funnel Property
Anindya Chanda, Sergio Fenley
We construct one dimensional foliations which are subfoliations of two dimensional foliations in 3-manifolds. The subfoliation is by quasigeodesics in each two dimensional leaf, bu…
Minimality of the action on the universal circle of uniform foliations
Sergio Fenley, Rafael Potrie
Given a uniform foliation by Gromov hyperbolic leaves on a -manifold, we show that the action of the fundamental group on the universal circle is minimal and transitive on pairs…
Quasigeodesic pseudo-Anosov flows in hyperbolic 3-manifolds and connections with large scale geometry
Sergio R Fenley
In this article we obtain a simple topological and dynamical systems condition which is necessary and sufficient for an arbitrary pseudo-Anosov flow in a closed, hyperbolic three m…
Diversified homotopic behavior of closed orbits of some R-covered Anosov flows
Sergio R. Fenley
We produce infinitely many examples of Anosov flows in closed 3-manifolds where the set of periodic orbits is partitioned into two infinite subsets. In one subset every closed orbi…
Classification and rigidity of totally periodic pseudo-Anosov flows in graph manifolds
Thierry Barbot, Sergio R. Fenley
In this article we analyze totally periodic pseudo-Anosov flows in graph three manifolds. This means that in each Seifert fibered piece of the torus decomposition, the free homotop…
Pseudo-Anosov flows in toroidal manifolds
Thierry Barbot, Sergio Fenley
We first prove rigidity results for pseudo-Anosov flows in prototypes of toroidal 3-manifolds: we show that a pseudo-Anosov flow in a Seifert fibered manifold is up to finite cover…
Endperiodic Automorphisms of Surfaces and Foliations
John Cantwell, Lawrence Conlon, Sergio R. Fenley
We extend the unpublished work of M. Handel and R. Miller on the classification, up to isotopy, of endperiodic automorphisms of surfaces. We give the Handel-Miller construction of…
Rigidity of pseudo-Anosov flows transverse to R-covered foliations
Sergio R Fenley
A 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-Anoso…
Ideal boundaries of pseudo-Anosov flows and uniform convergence groups, with connections and applications to large scale geometry
Sergio R. Fenley
Given a general pseudo-Anosov flow in a three manifold, the orbit space of the lifted flow to the universal cover is homeomorphic to an open disk. We compactify this orbit space wi…
Geometry of foliations and flows I: Almost transverse pseudo-Anosov flows and asymptotic behavior of foliations
Sergio R. Fenley
Let F be a foliation in a closed 3-manifold with negatively curved fundamental group and suppose that F is almost transverse to a quasigeodesic pseudo-Anosov flow. We show that the…
Laminar free hyperbolic 3-manifolds
Sergio R. Fenley
We analyse the existence question for essential laminations in 3-manifolds. The purpose is to prove that there are infinitely many closed hyperbolic 3-manifolds which do not admit…
Quasigeodesic Flows in Hyperbolic Three-Manifolds
Sérgio Fenley, Lee Mosher
Any closed, oriented, hyperbolic three-manifold with nontrivial second homology has many quasigeodesic flows, where quasigeodesic means that flow lines are uniformly efficient in m…
The structure of branching in Anosov flows of 3-manifolds
Sergio R. Fenley
In this article we study the topological structure of the lifts to the universal of the stable and unstable foliations of -dimensional Anosov flows. In particular we consider th…