%0 Journal Article %T Horizontal normal map on the Heisenberg group %A A. Calogero %A R. Pini %J Mathematics %D 2008 %I arXiv %X We investigate the notion of H-subdifferential and H-normal map of a function on the Heisenberg group, based on its sub-Riemannian structure. In particular, a characterization of the convexity of a function is given via the nonemptiness of the H-subdifferential at every point. %U http://arxiv.org/abs/0811.2277v1