1-Quasiconformal maps on Carnot groups with reducible first layer

TL;DR

This paper discusses 1-quasiconformal maps on Carnot groups with reducible first layers, building on prior work and indicating upcoming results by other researchers.

Contribution

It highlights ongoing research on quasiconformal maps in specific Carnot group structures, with new results forthcoming from the authors.

Findings

Previous results on 1-quasiconformal maps referenced

Upcoming paper will present new results

Focus on Carnot groups with reducible first layer

Abstract

For the result on 1-quasiconformal maps, see the paper by Cowling and Ottazzi. The result on quasiconformal maps on Carnot groups with reducible first layer will appear in a forthcoming paper by Enrico Le Donne and Xiangdong Xie.