JournalsrmiVol. 32, No. 4pp. 1407–1422

Rigidity of fiber-preserving quasisymmetric maps

  • Enrico Le Donne

    University of Jyväskylä, Finland

  • Xiangdong Xie

    Bowling Green State University, USA
Rigidity of fiber-preserving quasisymmetric maps cover
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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.

Cite this article

Enrico Le Donne, Xiangdong Xie, Rigidity of fiber-preserving quasisymmetric maps. Rev. Mat. Iberoam. 32 (2016), no. 4, pp. 1407–1422

DOI 10.4171/RMI/923