# Integrable measure equivalence and rigidity of hyperbolic lattices

@article{Bader2010IntegrableME,
title={Integrable measure equivalence and rigidity of hyperbolic lattices},
author={Uri Bader and Alex Furman and Roman Sauer},
journal={Inventiones mathematicae},
year={2010},
volume={194},
pages={313-379}
}
• Published 27 June 2010
• Mathematics
• Inventiones mathematicae
We study rigidity properties of lattices in $\operatorname {Isom}(\mathbf {H}^{n})\simeq \mathrm {SO}_{n,1}({\mathbb{R}})$, n≥3, and of surface groups in $\operatorname {Isom}(\mathbf {H}^{2})\simeq \mathrm {SL}_{2}({\mathbb{R}})$ in the context of integrable measure equivalence. The results for lattices in $\operatorname {Isom}(\mathbf {H}^{n})$, n≥3, are generalizations of Mostow rigidity; they include a cocycle version of strong rigidity and an integrable measure equivalence classification…

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