Integrable measure equivalence and rigidity of hyperbolic lattices
نویسندگان
چکیده
We study rigidity properties of lattices in Isom(H) SOn,1(R), n ≥ 3, and of surface groups in Isom(H2) SL2(R) in the context of integrable measure equivalence. The results for lattices in Isom(H), n ≥ 3, 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 Isom(H2) allow a similar integrable measure equivalence classification.
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