Horizontal normal map on the Heisenberg group

Details Horizontal normal map on the Heisenberg group Horizontal normal map on the Heisenberg group

2008-11-14

arxiv.org/abs/0811.2277v1

Mathematics

Differential Geometry

Scientific paper

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.

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