Lipschitz extensions into jet space Carnot groups

DOI10.4310/MRL.2010.v17.n6.a12zbMath1222.53037arXiv0911.0919MaRDI QIDQ2275762

Stefan Wenger, Robert Young

Publication date: 9 August 2011

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.0919

zbMATH Keywords

Lipschitz extensionjet spacesHeisenberg groupsCarnot groups

Mathematics Subject Classification ID

Jets in global analysis (58A20) Sub-Riemannian geometry (53C17)

Related Items (17)

High-dimensional fillings in Heisenberg groups ⋮ On the lack of density of Lipschitz mappings in Sobolev spaces with Heisenberg target ⋮ A variant of Gromov's problem on Hölder equivalence of Carnot groups ⋮ Pliability, or the Whitney extension theorem for curves in Carnot groups ⋮ Undistorted fillings in subsets of metric spaces ⋮ Unextendable Intrinsic Lipschitz Curves: ⋮ Jet spaces over Carnot groups ⋮ Lipschitz mappings, metric differentiability, and factorization through metric trees ⋮ 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 ⋮ 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

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