Which geodesic flows are left-handed ?
Geometric Topology
2017-10-18 v2 Dynamical Systems
Abstract
We prove that the geodesic flow on the unit tangent bundle to a hyperbolic 2-orbifold is left-handed if and only if the orbifold is a sphere with three conic points. As a consequence, on the unit tangent bundle to a 3-conic sphere, the lift of every finite collection of closed geodesics that is zero in integral homology is the binding of an open book decomposition.
Cite
@article{arxiv.1501.02909,
title = {Which geodesic flows are left-handed ?},
author = {Pierre Dehornoy},
journal= {arXiv preprint arXiv:1501.02909},
year = {2017}
}