Rigidity of fiber-preserving quasisymmetric maps

Abstract

We show that fiber-preserving quasisymmetric maps are biLipschitz. As an application, we show that quasisymmetric maps on Carnot groups with reducible first stratum are biLipschitz.

References in corpus (1)

• Quasiisometries of negatively curved homogeneous manifolds associated with Heisenberg groups

Cited by in corpus (2)

• Rigidity of quasisymmetric mappings on self-affine carpets
• Rigidity of quasiconformal maps on Carnot groups