Lipschitz graphs and currents in Heisenberg groups
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Publication:5028869
DOI10.1017/fms.2021.84zbMath1484.49071arXiv2007.14286OpenAlexW4210663191MaRDI QIDQ5028869
Publication date: 11 February 2022
Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.14286
blow-upcurrentsHeisenberg groupsCarnot groupsintrinsic Lipschitz graphsRumin's complexRademacher-type theorem
Lipschitz (Hölder) classes (26A16) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Analysis on real and complex Lie groups (22E30) Integration on manifolds; measures on manifolds (58C35) Integral geometry (53C65) Sub-Riemannian geometry (53C17)
Related Items (9)
On rectifiable measures in Carnot groups: existence of density ⋮ Parabolic rectifiability, tangent planes and tangent measures ⋮ Unextendable Intrinsic Lipschitz Curves: ⋮ Distributional solutions of Burgers' type equations for intrinsic graphs in Carnot groups of step 2 ⋮ Area formula for regular submanifolds of low codimension in Heisenberg groups ⋮ An alternative construction of the Rumin complex on homogeneous nilpotent Lie groups ⋮ Cohomology of annuli, duality and \(L^\infty\)-differential forms on Heisenberg groups ⋮ Rotational symmetries and spherical measure in homogeneous groups ⋮ Extensions and corona decompositions of low-dimensional intrinsic Lipschitz graphs in Heisenberg groups
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