5 citations · 6 across the 3 of their papers we have counts for
5 papers
Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, Part II: Branching foliations
Thomas Barthelmé, Sergio R. Fenley, Steven Frankel +1
We study -dimensional partially hyperbolic diffeomorphisms that are homotopic to the identity, focusing on the geometry and dynamics of Burago and Ivanov's center stable and cen…
Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms
Thomas Barthelmé, Sergio Fenley, Steven Frankel +1
We show that if a partially hyperbolic diffeomorphism of a Seifert manifold induces a map in the base which has a pseudo-Anosov component then it cannot be dynamically coherent. Th…
Coarse hyperbolicity and closed orbits for quasigeodesic flows
Steven Frankel
We prove Calegari's conjecture that every quasigeodesic flow on a closed hyperbolic 3-manifold has closed orbits.
Quasigeodesic flows and sphere-filling curves
Steven Frankel
Given a closed hyperbolic 3-manifold M with a quasigeodesic flow we construct a π_1-equivariant sphere-filling curve in the boundary of hyperbolic space. Specifically, we show that…
Quasigeodesic flows and Möbius-like groups
Steven Frankel
If M is a hyperbolic 3-manifold with a quasigeodesic flow then we show that π_1(M) acts in a natural way on a closed disc by homeomorphisms. Consequently, such a flow either has a…