Geodesic flows on hyperbolic orbifolds, and universal orbifolds

María Teresa Lozano and José María Montesinos-Amilibia

Vol. 177 (1997), No. 1, 109–147

DOI: 10.2140/pjm.1997.177.109

Abstract

The geodesic flow of a compact hyperbolic 2-orbifold is described. It is a flow in a 3-manifold which is Anosov out of a finite number of orbits. We study this class of flows (singular Anosov flows) and prove the existence of singular Anosov flows on every 3-manifold.

Milestones

Received: 25 July 1993

Revised: 1 August 1994

Published: 1 January 1997