Vol. 11 (2005)
Articles

Singularities of quasiregular mappings on Carnot groups

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

Publicado 2025-01-23

Palabras clave

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

Resumen

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.