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arxiv: 1501.02391 · v1 · pith:MMUAPSK7new · submitted 2015-01-10 · 🧮 math.MG · math.CV· math.GR

Rigidity of fiber-preserving quasisymmetric maps

Enrico Le Donne , Xiangdong Xie This is my paper
classification 🧮 math.MG math.CVmath.GR
keywords mapsquasisymmetricbilipschitzfiber-preservingapplicationcarnotfirstgroups
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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.

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