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Quasiconformal maps on a 2-step Carnot group

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Publication:5213504
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DOI10.1142/S1793525319500316zbMath1475.30053OpenAlexW2738979451MaRDI QIDQ5213504

Christopher James Gardiner, Xiangdong Xie

Publication date: 3 February 2020

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793525319500316

zbMATH Keywords

quasiconformal mapsCarnot groups


Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Quasiconformal mappings in metric spaces (30L10)




Cites Work

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  • Some examples of quasiisometries of nilpotent Lie groups
  • Quasisymmetric homeomorphisms on reducible Carnot groups
  • Rigidity of fiber-preserving quasisymmetric maps
  • Conformality and \(Q\)-harmonicity in Carnot groups
  • Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
  • Sub-Riemannian geometry. Proceedings of the satellite meeting of the first European congress of mathematics `Journées nonholonomes: géométrie sous-riemannienne, théorie du contrôle, robotique', Paris, France, June 30--July 1, 1992
  • Global contact and quasiconformal mappings of Carnot groups
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