Horizontal normal map on the Heisenberg group
Differential Geometry
2008-11-17 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0811.2277,
title = {Horizontal normal map on the Heisenberg group},
author = {A. Calogero and R. Pini},
journal= {arXiv preprint arXiv:0811.2277},
year = {2008}
}