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Global contact and quasiconformal mappings of Carnot groups

Authors :
Cowling, Michael G.
Ottazzi, Alessandro
Publication Year :
2014

Abstract

We show that globally defined quasiconformal mappings of rigid Carnot groups are affine, but that globally defined contact mappings of rigid Carnot groups need not be quasiconformal, and a fortiori not affine.

Subjects

Subjects :
Mathematics - Metric Geometry
30L10, 57S20, 35R03, 53C23

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1408.1778
Document Type :
Working Paper

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