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math.GT2015
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.
math.GT2012★ 5 cited
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…
math.GT2011
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…