Rigidity of fiber-preserving quasisymmetric maps
Enrico Le Donne
University of Jyväskylä, FinlandXiangdong Xie
Bowling Green State University, USA
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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