Rigidity of quasiconformal maps on Carnot groups

Xie Xiangdong

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Rigidity of quasiconformal maps on Carnot groups

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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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《Mathematical Proceedings of the Cambridge Philosophical Society》 |2017年第1期|131-150|共20页
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Xie Xiangdong;
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Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USA;

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正文语种英语
中图分类数学;
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Rigidity of quasiconformal maps on Carnot groups

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