Area of intrinsic graphs and coarea formula in Carnot groups

DOI10.1007/s00209-021-02916-2zbMath1496.53043arXiv2004.02520OpenAlexW3014724661WikidataQ121356041 ScholiaQ121356041MaRDI QIDQ2137854

Antoine Julia, Davide Vittone, Sebastiano Nicolussi Golo

Publication date: 11 May 2022

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

Full work available at URL: https://arxiv.org/abs/2004.02520

zbMATH Keywords

submanifoldsHausdorff measuresarea formulacoarea formulaCarnot groups

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Length, area, volume, other geometric measure theory (28A75) Sub-Riemannian geometry (53C17)

Related Items (7)

A reverse coarea-type inequality in Carnot groups ⋮ On rectifiable measures in Carnot groups: existence of density ⋮ On sets with unit Hausdorff density in homogeneous groups ⋮ Distributional solutions of Burgers' type equations for intrinsic graphs in Carnot groups of step 2 ⋮ Marstrand-Mattila rectifiability criterion for 1-codimensional measures in Carnot groups ⋮ Nowhere differentiable intrinsic Lipschitz graphs ⋮ Lipschitz graphs and currents in Heisenberg groups

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