Quasisymmetric homeomorphisms on reducible Carnot groups

DOI10.2140/pjm.2013.265.113zbMath1278.53036OpenAlexW1963642908MaRDI QIDQ374430

Xiangdong Xie

Publication date: 23 October 2013

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2013.265.113

zbMATH Keywords

bi-LipschitzCarnot groupsquasisymmetric homeomorphismnegatively curved homogeneous manifoldsPansu differentiability

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Sub-Riemannian geometry (53C17) Quasiconformal mappings in metric spaces (30L10)

Related Items (8)

Some examples of quasiisometries of nilpotent Lie groups ⋮ Quasisymmetry and quasihyperbolicity of mappings on John domains ⋮ Rigidity of quasiconformal maps on Carnot groups ⋮ Conformal and CR mappings on Carnot groups ⋮ Invertible Carnot groups ⋮ Sublinear quasiconformality and the large-scale geometry of Heintze groups ⋮ Quasiconformal maps on a 2-step Carnot group ⋮ Quasi-conformal maps on model filiform groups

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