Quasiconformal maps on non-rigid Carnot groups

2013/08/14 by Xiangdong Xie, Xie, Xiangdong · 1 citation
Mathematics · #22E25 #30L10 #53C17 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1308.3031

openalex publication_date 2013/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study quasiconformal maps on non-rigid Carnot groups equipped with Carnot metric. We show that for most non-rigid Carnot groups N, all quasiconformal maps on N must be biLipschitz.

Citations

• Quasiconformal maps in metric spaces with controlled geometry
• Metriques de Carnot-Caratheodory et Quasiisometries des Espaces Symetriques de rang un

Cited by

• Pansu pullback and rigidity of mappings between Carnot groups

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