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arXiv · 1308.3028

Rigidity of quasiconformal maps on Carnot groups

Xiangdong Xie
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Abstract

We show that quasiconformal maps on many Carnot groups must be biLipschitz. In particular, this is the case for 2-step Carnot groups with reducible first layer. These results have implications for the rigidity of quasiisometries between negatively curved solvable Lie groups.

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Xiangdong Xie. 2013-08-14. Rigidity of quasiconformal maps on Carnot groups. https://doi.org/10.1017/s0305004116000487

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