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arXiv · 1006.5193

Integrable measure equivalence and rigidity of hyperbolic lattices

Uri Bader·Alex Furman·Roman Sauer
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Abstract

We study rigidity properties of lattices in hyperbolic n-space with n>2 and of surface groups in the context of (integrable) measure equivalence. The results for lattices in hyperbolic n-space with n>2 are generalizations of Mostow rigidity; they include a cocycle version of strong rigidity and an integrable measure equivalence classification. Despite the lack of Mostow rigidity for n=2 we show that cocompact lattices in SL(2,R) allow a similar integrable measure equivalence classification.

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Uri Bader, Alex Furman, Roman Sauer. 2010-06-27. Integrable measure equivalence and rigidity of hyperbolic lattices. https://arxiv.org/abs/1006.5193

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