Published 23-01-2025
Keywords
- Carnot group,
- quasiregular mapping,
- lifting of curves,
- module of families of curves,
- capacity.
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.
