Ergodicity of unipotent flows and geometrically finite Kleinian groups

Details Ergodicity of unipotent flows and geometrically finite Kleinian groups Ergodicity of unipotent flows and geometrically finite Kleinian groups

2011-12-17

arxiv.org/abs/1112.4024v1

Mathematics

Dynamical Systems

Scientific paper

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.

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