Rigidity of quasiconformal maps on Carnot groups

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.

References in corpus (1)

• Rigidity of fiber-preserving quasisymmetric maps