On rectifiable measures in Carnot groups: representation

DOI10.1007/s00526-021-02112-4zbMath1487.53055arXiv2104.00335OpenAlexW3217321729WikidataQ115386335 ScholiaQ115386335MaRDI QIDQ2667170

Andrea Merlo, Gioacchino Antonelli

Publication date: 24 November 2021

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

Full work available at URL: https://arxiv.org/abs/2104.00335

zbMATH Keywords

rectifiabilitytangent measuresCarnot groupsLipschitz graphs

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 (9)

On rectifiable measures in Carnot groups: Marstrand-Mattila rectifiability criterion ⋮ On rectifiable measures in Carnot groups: existence of density ⋮ Parabolic rectifiability, tangent planes and tangent measures ⋮ On sets with unit Hausdorff density in homogeneous groups ⋮ Unextendable Intrinsic Lipschitz Curves: ⋮ Area formula for regular submanifolds of low codimension in Heisenberg groups ⋮ Exceptional families of measures on Carnot groups ⋮ Identifying 1-rectifiable measures in Carnot groups ⋮ Extensions and corona decompositions of low-dimensional intrinsic Lipschitz graphs in Heisenberg groups

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