From the 1 of 9 linked papers with an AI index.
9 papers
Hyperbolicity of complements of orbits in Anosov flows
Sergio Fenley, Tali Pinsky, Mario Shannon
The paper proves that for Anosov flows on 3‑manifolds with orientable stable and unstable foliations, the complement of any filling periodic orbit is a hyperbolic manifold, and it…
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…
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…
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…
Non R-covered Anosov flows in hyperbolic 3-manifolds are quasigeodesic
Sergio R Fenley
The main result is that if an Anosov flow in a closed hyperbolic three manifold is not R-covered, then the flow is a quasigeodesic flow. We also prove that if a hyperbolic three ma…