Ergodic Theory and Dynamical Systems

Research Article

Factors of horocycle flows

Marina Ratnera1

a1 Department of Mathematics, University of California at Berkeley, Berkeley, Calif. 94720, USA

Abstract

We classify up to an isomorphism all factors of the classical horocycle flow on the unit tangent bundle of a surface of constant negative curvature with finite volume.

(Received October 07 1981)