Regularity properties of \(H\)-convex sets

DOI10.1007/s12220-010-9203-7zbMath1262.32014OpenAlexW2053422444MaRDI QIDQ692156

Gabriella Arena, Andrea O. Caruso, Roberto Monti

Publication date: 4 December 2012

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-010-9203-7

zbMATH Keywords

vector spacesboundary regularityhorizontal convexitystep two Carnot groups

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Geometric convexity in several complex variables (32F99) General convexity (52A99)

Related Items

On the ${\mathbb H}$-cone-functions for H-convex sets, Multiexponential maps in Carnot groups with applications to convexity and differentiability, On the inner cone property for convex sets in two-step Carnot groups, with applications to monotone sets, Horizontally quasiconvex envelope in the Heisenberg group, Precisely monotone sets in step-2 rank-3 Carnot algebras, Sets with finite \(\mathbb{H}\)-perimeter and controlled normal, The engulfing property for sections of convex functions on the Heisenberg group and the associated quasi-distance, Lipschitz approximation of \(\mathbb H\)-perimeter minimizing boundaries

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