Bishop, Christopher J.; Gutlyanskiĭ, Vladimir Ya.; Martio, Olli; Vuorinen, Matti On conformal dilatation in space. (English) Zbl 1133.30319 Int. J. Math. Math. Sci. 2003, No. 22, 1397-1420 (2003). 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. Cited in 51 Documents MSC: 30C65 Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations PDFBibTeX XMLCite \textit{C. J. Bishop} et al., Int. J. Math. Math. Sci. 2003, No. 22, 1397--1420 (2003; Zbl 1133.30319) Full Text: DOI EuDML