Ergodicity of unipotent flows and Kleinian groups

Amir Mohammadi; Hee Oh

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arXiv · 1112.4024

Ergodicity of unipotent flows and Kleinian groups

Amir Mohammadi·Hee Oh

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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.

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Amir Mohammadi, Hee Oh. 2011-12-17. Ergodicity of unipotent flows and Kleinian groups. https://arxiv.org/abs/1112.4024

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