ON CONFORMAL DILATATION IN SPACE

By Christopher J. Bishop, V. Gutlyanskiĭ, O. Martio, Matti Vuorinen. 2003

123 citations recorded by the source corpus.

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 Grotzsch-Teichmuller type modulus estimates that are expressed in terms of the mean value of the dilatation coefficients.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/ede6aa5d51f9f039a54d9e7b3f957dca6164a76d

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In Geometry and Topology

1. E. Sevost’yanov
2. V. Ryazanov
3. E. Yakubov
4. U. Srebro

Citations in the corpus

• Moduli in Modern Mapping Theory (2008, unknown): “1 in [5] and [24], p.”
• Equicontinuity of mappings quasiconformal in the mean (2010, background): “O. Lehto and K. Virtanen for quasiconformal mappings in the plane, see Section V.6.3 in [16]. The relation of the type (1.3) was also stated by K. Bishop, V. Gutlyanskii, O. Martio and M. Vuorinen in [4] for quasiconformal mappings in space where Q(x) is equal to KI(x,f). Recall that the inner dilat”