On the inner cone property for convex sets in two-step Carnot groups, with applications to monotone sets

DOI10.5565/PUBLMAT6422002MaRDI QIDQ2192680

Daniele Morbidelli

Publication date: 17 August 2020

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.06513

zbMATH Keywords

Carnot groupssub-Riemannian distancemonotone sets

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Sub-Riemannian geometry (53C17)

Related Items (5)

Multiexponential maps in Carnot groups with applications to convexity and differentiability ⋮ Horizontally affine functions on step-2 Carnot algebras ⋮ Monotone sets and local minimizers for the perimeter in Carnot groups ⋮ Precisely monotone sets in step-2 rank-3 Carnot algebras ⋮ Polynomial and horizontally polynomial functions on Lie groups

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