On rectifiable measures in Carnot groups: existence of density

DOI10.1007/s12220-022-00971-7zbMath1502.53042arXiv2009.13941OpenAlexW4285803191WikidataQ114220998 ScholiaQ114220998MaRDI QIDQ2157486

Gioacchino Antonelli, Andrea Merlo

Publication date: 22 July 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.13941

zbMATH Keywords

densityrectifiabilityCarnot groupsrectifiable measureintrinsic Lipschitz graphintrinsic differentiable graph

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Nilpotent and solvable Lie groups (22E25) Sub-Riemannian geometry (53C17)

Related Items (5)

On sets with unit Hausdorff density in homogeneous groups ⋮ Unextendable Intrinsic Lipschitz Curves: ⋮ Exceptional families of measures on Carnot groups ⋮ Marstrand-Mattila rectifiability criterion for 1-codimensional measures in Carnot groups ⋮ Identifying 1-rectifiable measures in Carnot groups

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