Ergodic Theory and Dynamical Systems

Research Article

Ergodic behaviour of Sullivan's geometric measure on a geometrically finite hyperbolic manifold

Daniel J. Rudolpha1

a1 Department of Mathematics, University of Maryland, College Park, Maryland 20742, USA

Abstract

Sullivan's geometric measure on a geometrically finite hyperbolic manifold is shown to satisfy a mean ergodic theorem on horospheres and through this that the geodesic flow is Bernoulli.

(Received September 01 1981)

(Revised September 24 1982)