Global contact and quasiconformal mappings of Carnot groups

Author:

Cowling Michael,Ottazzi Alessandro

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.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology

Reference27 articles.

1. Mathematical Surveys and Monographs;Čap, Andreas,2009

2. Conformality and 𝑄-harmonicity in Carnot groups;Capogna, Luca;Duke Math. J.,2006

3. L. Capogna and E. Le Donne, Smoothness of subriemannian isometries, submitted (2013).

4. Contact and conformal maps on Iwasawa 𝑁 groups;Cowling, Michael;Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl.,2002

5. Contact and conformal maps in parabolic geometry. I;Cowling, Michael;Geom. Dedicata,2005

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1. The contact mappings of a flat (2,3,5)-distribution;Annals of Global Analysis and Geometry;2021-04-26

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