From the 1 of 9 linked papers with an AI index.
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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…
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…
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…
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…