Hausdorff measure of the singular set of quasiregular maps on Carnot groups
type: Item
instance of: scholarly article
title: Hausdorff measure of the singular set of quasiregular maps on Carnot groups
zbMATH Open document ID: 1030.22003
DOI: 10.1155/S0161171203212370
author: Irina Markina
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-12-03T00:00:00Z
full work available at URL: https://eudml.org/doc/50538
review text: It is proved that the \((i-m-1)\)-dimensional Hausdorff measure of the image of the branch set of a quasiregular mapping on the Carnot group is positive (\(i\) is the homogeneous dimension of the Carnot group and \(m\) is the index of the last vector space of the corresponding Lie algebra).
Mathematics Subject Classification ID: 22E30
Mathematics Subject Classification ID: 30C65
Mathematics Subject Classification ID: 43A80
zbMATH DE Number: 2012531
zbMATH Keywords: Carnot group
zbMATH Keywords: quasiregular map
zbMATH Keywords: exponential map
zbMATH Keywords: Sobolev space
zbMATH Keywords: Hausdorff measure
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2012531