Any profinite isomorphism of finite-volume hyperbolic 3-manifolds is regular (μ = ±1) in the sense of Boileau–Friedl.
Duke Math
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Regularity of profinite isomorphisms of hyperbolic 3-manifolds
Any profinite isomorphism of finite-volume hyperbolic 3-manifolds is regular (μ = ±1) in the sense of Boileau–Friedl.