Conformal and CR mappings on Carnot groups

DOI10.1090/bproc/48zbMath1471.22004arXiv1807.00994OpenAlexW3035933013MaRDI QIDQ5130030

Ji Li, Alessandro Ottazzi, Michael G. Cowling, Qing Yan Wu

Publication date: 3 November 2020

Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.00994

zbMATH Keywords

conformal mappingsquasiconformal mappingsCarnot groupsCR mappings

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) CR manifolds as boundaries of domains (32V15) Sub-Riemannian geometry (53C17) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Quasiconformal mappings in metric spaces (30L10)

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Cites Work

• Quasisymmetric homeomorphisms on reducible Carnot groups
• Conformality and \(Q\)-harmonicity in Carnot groups
• Conformal mappings and CR mappings on the Engel group
• Quasiconformal mappings on the Heisenberg group
• The Yamabe problem on CR manifolds
• Intrinsic CR normal coordinates and the CR Yamabe problem
• Conformality and \(Q\)-harmonicity in sub-Riemannian manifolds
• The Beltrami equations for quasiconformal mappings on strongly pseudoconvex hypersurfaces
• Conformal maps of Carnot groups
• The Fefferman Metric and Pseudohermitian Invariants
• Psuedo-Einstein Structures on CR Manifolds
• On Sparling's Characterization of Fefferman Metrics
• Analysis and applications: The mathematical work of Elias Stein
• A Basis for Free Lie Rings and Higher Commutators in Free Groups
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