Global contact and quasiconformal mappings of Carnot groups

Cowling, Michael; Ottazzi, Alessandro

doi:10.1090/ecgd/282

Global contact and quasiconformal mappings of Carnot groups
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by Michael G. Cowling and Alessandro Ottazzi

Conform. Geom. Dyn. 19 (2015), 221-239

DOI: https://doi.org/10.1090/ecgd/282

Published electronically: September 29, 2015

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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.

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