Structure of porous sets in Carnot groups

zbMath1457.53016arXiv1607.04681MaRDI QIDQ1746519

Gareth Speight, Andrea Pinamonti

Publication date: 25 April 2018

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.04681

zbMATH Keywords

non-differentiability\(\sigma\)-porous setCarnot-Carathéodory distanceKoranyi distance

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Analysis on other specific Lie groups (43A80) Sub-Riemannian geometry (53C17)

Related Items

Universal differentiability sets and maximal directional derivatives in Carnot groups ⋮ Multiexponential maps in Carnot groups with applications to convexity and differentiability ⋮ Regularity of solutions to the fractional Cheeger-Laplacian on domains in metric spaces of bounded geometry ⋮ Porosity and differentiability of Lipschitz maps from stratified groups to Banach homogeneous groups ⋮ Bi-Lipschitz embeddings of Heisenberg submanifolds into Euclidean spaces

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