Rigidity of quasiconformal maps on Carnot groups

Published 14 Aug 2013 in math.CV and math.GR | (1308.3028v1)

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

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