On the Whitney extension property for continuously differentiable horizontal curves in sub-Riemannian manifolds

DOI10.1007/s00526-018-1336-8zbMath1398.53039arXiv1708.02795OpenAlexW2963878439WikidataQ115387255 ScholiaQ115387255MaRDI QIDQ1751599

Mario Sigalotti, Ludovic Sacchelli

Publication date: 25 May 2018

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.02795

zbMATH Keywords

rectifiabilityCarnot groupssub-Riemannian manifoldsLusin approximationequiregular manifoldspliable groupsWhitney extension property

Mathematics Subject Classification ID

Controllability (93B05) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Rigidity results (53C24) Extension of maps (54C20) Sub-Riemannian geometry (53C17)

Related Items (6)

A rectifiability result for finite-perimeter sets in Carnot groups ⋮ A C^k Lusin approximation theorem for real-valued functions on Carnot groups ⋮ Whitney's extension theorem and the finiteness principle for curves in the Heisenberg group ⋮ A \(C^{m,\omega}\) Whitney extension theorem for horizontal curves in the Heisenberg group ⋮ A $C^m$ Whitney extension theorem for horizontal curves in the Heisenberg group ⋮ A \(C^m\) Lusin approximation theorem for horizontal curves in the Heisenberg group

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