On the ${\mathbb H}$-cone-functions for H-convex sets
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Publication:5237036
zbMath1435.26006arXiv1807.00136MaRDI QIDQ5237036
Publication date: 16 October 2019
Full work available at URL: https://arxiv.org/abs/1807.00136
Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Convexity of real functions of several variables, generalizations (26B25) Sub-Riemannian geometry (53C17)
Related Items (2)
On the inner cone property for convex sets in two-step Carnot groups, with applications to monotone sets ⋮ Precisely monotone sets in step-2 rank-3 Carnot algebras
Cites Work
- Sharp comparison and maximum principles via horizontal normal mapping in the Heisenberg group
- Regularity properties of \(H\)-convex sets
- An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
- Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
- The Carnot-Carathéodory distance and the infinite Laplacian
- Isometric embeddings into Heisenberg groups
- Notion of convexity in Carnot groups
- Horizontal normal map on the Heisenberg group
- A note on the engulfing property and the $\Gamma ^{1+ \alpha }$-regularity of convex functions in Carnot groups
- Some regularity properties of solutions of Monge Ampère equation
- The Monge-Ampère equation
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