The (𝑛+1)-Lipschitz homotopy group of the Heisenberg group ℍⁿ

DOI10.1090/proc/13811zbMath1384.53034arXiv1703.08908OpenAlexW2617726679MaRDI QIDQ3130852

Piotr Hajłasz

Publication date: 29 January 2018

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

Full work available at URL: https://arxiv.org/abs/1703.08908

zbMATH Keywords

Heisenberg groupLipschitz extensionsCarnot groupLipschitz homotopy groups

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17) Homotopy groups of spheres (55Q40)

Related Items

Lipschitz homotopy groups of contact 3-manifolds ⋮ Minimal Ws,ns$W^{s,\frac{n}{s}}$‐harmonic maps in homotopy classes ⋮ Hölder-topology of the Heisenberg group

Cites Work

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• Unrectifiability and rigidity in stratified groups
• Rectifiability and Lipschitz extensions into the Heisenberg group
• Rectifiable sets in metric and Banach spaces
• Lipschitz extensions into jet space Carnot groups
• Homotopy groups of spheres and Lipschitz homotopy groups of Heisenberg groups
• Lipschitz homotopy groups of the Heisenberg groups
• Non-isotopic Legendrian submanifolds in \(\mathbb R^{2n+1}\)
• On the lack of density of Lipschitz mappings in Sobolev spaces with Heisenberg target
• Weak contact equations for mappings into Heisenberg groups

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