Ergodicity of unipotent flows and Kleinian groups

Amir Mohammadi, Hee Oh

Published 2011-12-17, updated 2019-07-07Version 4

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 if and only if delta>1.