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

Authors: Michael G. Cowling and Alessandro Ottazzi
Journal: Conform. Geom. Dyn. 19 (2015), 221-239
MSC (2010): Primary 30L10; Secondary 57S20, 35R03, 53C23
DOI: https://doi.org/10.1090/ecgd/282
Published electronically: September 29, 2015
MathSciNet review: 3402499
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Abstract | References | Similar Articles | Additional Information

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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