Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces

DOI10.1016/j.na.2020.111983zbMath1448.53042arXiv1910.12812OpenAlexW3028492440WikidataQ109520600 ScholiaQ109520600MaRDI QIDQ2201737

Enrico Le Donne, Gioacchino Antonelli

Publication date: 17 September 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.12812

zbMATH Keywords

Hausdorff dimensionCarnot groupssmooth hypersurfaceintrinsic Lipschitz graphintrinsic rectifiable setcodimension-one rectifiabilityintrinsic \(C^1\) submanifolds

Mathematics Subject Classification ID

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 (8)

On rectifiable measures in Carnot groups: representation ⋮ Distributional solutions of Burgers' type equations for intrinsic graphs in Carnot groups of step 2 ⋮ Sub-elliptic boundary value problems in flag domains ⋮ Carnot rectifiability of sub-Riemannian manifolds with constant tangent ⋮ Exceptional families of measures on Carnot groups ⋮ \(C^{1,\alpha}\)-rectifiability in low codimension in Heisenberg groups ⋮ Characterizations of \(k\)-rectifiability in homogeneous groups ⋮ Lipschitz graphs and currents in Heisenberg groups

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