Ergodicity of unipotent flows and Kleinian groups
Dynamical Systems
2019-07-10 v5 Geometric Topology
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.
Keywords
Cite
@article{arxiv.1112.4024,
title = {Ergodicity of unipotent flows and Kleinian groups},
author = {Amir Mohammadi and Hee Oh},
journal= {arXiv preprint arXiv:1112.4024},
year = {2019}
}
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49 pages