Quasiconformal maps on a 2-step Carnot group

Christopher James Gardiner,Xiangdong Xie

Journal of Topology and Analysis（2019）

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摘要

We find all global quasiconformal maps (with respect to the Carnot metric) on a particular 2-step Carnot group. in particular, all the global quasiconformal maps of this Carnot group permute the left cosets of the center, verifying a conjecture by Xie for this particular case.

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关键词

Rigidity,Carnot group,quasiconformal maps

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