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arXiv · 1001.3817

Contact and 1-quasiconformal maps on Carnot groups

A. Ottazzi·B. Warhurst
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Abstract

We characterize the rigidity of Carnot groups in the class of $C^2$ contact maps in terms of complex characteristics. Furthermore, we obtain a Liouville type theorem for Carnot groups which states that 1-quasiconformal maps form finite dimensional Lie groups.

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A. Ottazzi, B. Warhurst. 2010-07-08. Contact and 1-quasiconformal maps on Carnot groups. https://arxiv.org/abs/1001.3817

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