Quasiconformal mappings on the Grushin plane

DOI10.1007/s00209-017-1851-xzbMath1381.30032arXiv1604.02161OpenAlexW2964347232MaRDI QIDQ1686786

Matthew Romney, Chris Gartland, Derek J. Jung

Publication date: 15 December 2017

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02161

zbMATH Keywords

sub-Riemannian geometryquasiconformal mappingconformal modulusGrushin plane

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17) Quasiconformal mappings in metric spaces (30L10)

Related Items (1)

Uniformization with infinitesimally metric measures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniformization of two-dimensional metric surfaces
• Quadruples and spatial quasiconformal mappings
• Singular metrics and associated conformal groups underlying differential operators of mixed and degenerate types
• Lectures on analysis on metric spaces
• Sobolev classes of Banach space-valued functions and quasiconformal mappings
• Bi-Lipschitz embedding of the generalized Grushin plane into Euclidean spaces
• Isoperimetric inequality in the Grushin plane
• Foundations for the theory of quasiconformal mappings on the Heisenberg group
• The differential of a quasi-conformal mapping of a Carnot-Carathéodory space
• Lectures on \(n\)-dimensional quasiconformal mappings
• Liouville theorem, conformally invariant cones and umbilical surfaces for Grushin-type metrics
• Conformal Grushin spaces
• An approach to studying quasiconformal mappings on generalized Grushin planes
• Geometry of Grushin spaces

This page was built for publication: Quasiconformal mappings on the Grushin plane