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Rigidity of quasiconformal maps on Carnot groups

Published online by Cambridge University Press:  06 June 2016

XIANGDONG XIE*
Affiliation:
Dept. of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH, U.S.A. e-mail: [email protected]

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.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 2016 

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References

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