Ergodicity of unipotent flows and Kleinian groups

Abstract

Let M be a non-elementary convex cocompact hyperbolic 3 manifold and delta the critical exponent of its fundamental group. We prove that a one-dimensional unipotent flow for the frame bundle of M is ergodic for the Burger-Roblin measure provided that delta>1.

49 pages

References in corpus (1)

• A ratio ergodic theorem for multiparameter non-singular actions

Cited by in corpus (1)

• Harmonic analysis, Ergodic theory and Counting for thin groups