Vol. 11 (2005)
Articles

Singularities of quasiregular mappings on Carnot groups

Irina Markina
Departamento de Matemática, Universidad Técnica Federico Santa María, Valparaíso, Chile.

Published 2005-01-15

DOI:

https://doi.org/10.71712/

Keywords

  • Carnot group,
  • quasiregular mapping,
  • lifting of curves,
  • module of families of curves,
  • capacity.

How to Cite

Markina, I. . (2005). Singularities of quasiregular mappings on Carnot groups. Scientia Series A: Mathematical Sciences, 11, 69-81. https://doi.org/10.71712/

Abstract

In 1970 Poletski˘ı applied the method of the module of a family of curves
to describe behavior of quasiregular mappings (in another terminology mappings with bounded distortion) in \(\mathbb{R}^2\)  In the present paper we generalize a result by Poletski˘ı and study a singular set of a quasiregular mapping using the method of the module of a families of curves on Carnot groups.

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