Published 2005-10-22
Keywords
- Carnot group,
- quasiregular mapping,
- lifting of curves,
- module of families of curves,
- capacity.
Copyright (c) 2025 Scientia Series A: Mathematical Sciences
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How to Cite
Singularities of quasiregular mappings on Carnot groups. (2005). Scientia Series A: Mathematical Sciences, 11, 69-81. https://revistas.usm.cl/scientia/article/view/74
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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