A remark on quasiconformal mappings on Carnot groups

DOI10.1307/mmj/1029004912zbMath0898.22006OpenAlexW2035756777MaRDI QIDQ1325798

G. Daniel Mostow

Publication date: 1 November 1998

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029004912

zbMATH Keywords

quasiconformal mappingsHeisenberg groupsstrong rigiditylocally hyperbolic spacestwo-step Carnot groups

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Discrete subgroups of Lie groups (22E40) Global Riemannian geometry, including pinching (53C20)

Related Items

Nonsmooth calculus, The differential of a quasi-conformal mapping of a Carnot-Carathéodory space, Analytic properties of quasiconformal mappings on Carnot groups, Quasiregular maps on Carnot groups, Quasiconformal maps in metric spaces with controlled geometry, Mostow strong rigidity of locally symmetric spaces revisited, Definitions of quasiconformality, An approach to symmetric spaces of rank one via groups of Heisenberg type, Sobolev classes of Banach space-valued functions and quasiconformal mappings