Rectifiability and Lipschitz extensions into the Heisenberg group

DOI10.1007/s00209-008-0437-zzbMath1177.53032OpenAlexW2056235409WikidataQ110007351 ScholiaQ110007351MaRDI QIDQ1031854

Katrin S. Fässler, Zoltán M. Balogh

Publication date: 23 October 2009

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

Full work available at URL: https://boris.unibe.ch/36823/1/209_2008_Article_437.pdf

zbMATH Keywords

Heisenberg groupLipschitz extension

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Sub-Riemannian geometry (53C17)

Related Items

Intrinsic Lipschitz graphs within Carnot groups, On the lack of density of Lipschitz mappings in Sobolev spaces with Heisenberg target, Pliability, or the Whitney extension theorem for curves in Carnot groups, Unextendable Intrinsic Lipschitz Curves:, Homotopy groups of spheres and Lipschitz homotopy groups of Heisenberg groups, Lipschitz homotopy groups of the Heisenberg groups, BiLipschitz embeddings of spheres into jet space Carnot groups not admitting Lipschitz extensions, Impossibility of almost extension, The Whitney extension theorem for \(C^1\), horizontal curves in the Heisenberg group, Lipschitz extensions of maps between Heisenberg groups, Coarse differentiation and quantitative nonembeddability for Carnot groups, Contact equations, Lipschitz extensions and isoperimetric inequalities, Hölder-topology of the Heisenberg group, The (𝑛+1)-Lipschitz homotopy group of the Heisenberg group ℍⁿ, Extensions and corona decompositions of low-dimensional intrinsic Lipschitz graphs in Heisenberg groups

Cites Work

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• Non-isotopic Legendrian submanifolds in \(\mathbb R^{2n+1}\)
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