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On conformal dilatation in space. (English) Zbl 1133.30319

Summary: We study the conformality problems associated with quasiregular mappings in space. Our approach is based on the concept of the infinitesimal space and some new Grötzsch-Teichmüller type modulus estimates that are expressed in terms of the mean value of the dilatation coefficients.

MSC:

30C65 Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations
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