Horizontal normal map on the Heisenberg group

zbMath1229.53045arXiv0811.2277MaRDI QIDQ3173955

Andrea Calogero, Rita Pini

Publication date: 11 October 2011

Full work available at URL: https://arxiv.org/abs/0811.2277

zbMATH Keywords

Heisenberg groupconvex functionshozrizontal subdifferentialMonge-Ampere measure

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Convexity of real functions of several variables, generalizations (26B25) Sub-Riemannian geometry (53C17)

Related Items (10)

Horizontal convex envelope in the Heisenberg group and applications to sub-elliptic equations ⋮ On the ${\mathbb H}$-cone-functions for H-convex sets ⋮ Horizontally quasiconvex envelope in the Heisenberg group ⋮ On Minty's theorem in the Heisenberg group ⋮ The engulfing property for sections of convex functions on the Heisenberg group and the associated quasi-distance ⋮ Sharp comparison and maximum principles via horizontal normal mapping in the Heisenberg group ⋮ Regularity properties of \(H\)-convex sets ⋮ Note on the Fenchel transform in the Heisenberg group ⋮ The engulfing property from a convex analysis viewpoint ⋮ Unnamed Item

This page was built for publication: Horizontal normal map on the Heisenberg group