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arXiv · 1807.00994

Conformal and CR mappings on Carnot groups

Michael G. Cowling·Ji Li·Alessandro Ottazzi·Qingyan Wu
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Abstract

We consider a class of stratified groups with a CR structure and a compatible control distance. For these Lie groups we show that the space of conformal maps coincide with the space of CR and anti-CR diffeomorphisms. Furthermore, we prove that on products of such groups, all CR and anti-CR maps are product maps, up to a permutation isomorphism, and affine in each component.

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Michael G. Cowling, Ji Li, Alessandro Ottazzi, Qingyan Wu. 2018-07-03. Conformal and CR mappings on Carnot groups. https://arxiv.org/abs/1807.00994

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