Abstract
Euclidean space and Lobachevsky space are known to be not equivalent either conformally or quasiconformally. In this work we give exact asymptotics of the critical order of growth at infinity for the quasiconformality coefficient of a diffeomorphism for which such a mapping is possible. We also consider the general case of immersions of conformally parabolic Riemannian manifolds.Bibliography: 17 titles.
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