Lipschitz extensions of maps between Heisenberg groups

DOI10.5802/aif.3046zbMath1358.43010arXiv1505.06093OpenAlexW2962833391MaRDI QIDQ507079

Zoltán M. Balogh, Urs Lang, Pierre Pansu

Publication date: 3 February 2017

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.06093

zbMATH Keywords

Heisenberg groupLipschitz mappingCarnot-Carathéodory distance

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Related Items

Pliability, or the Whitney extension theorem for curves in Carnot groups ⋮ Impossibility of almost extension

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• Rectifiability and Lipschitz extensions into the Heisenberg group
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• Kirszbraun's theorem and metric spaces of bounded curvature
• Optimal mass transportation in the Heisenberg group.
• Lipschitz extensions into jet space Carnot groups
• Some properties of Carnot-Carath'eodory balls in the Heisenberg group
• Lipschitz Non-extension Theorems into Jet Space Carnot Groups
• The coarea formula for real‐valued Lipschitz maps on stratified groups
• A Lipschitz Condition Preserving Extension for a Vector Function
• Extensions of Lipschitz maps into Hadamard spaces