Inserted: 5 nov 2018
Last Updated: 2 jul 2019
Journal: Journal of Convex Analysis
The paper gives an overview on convex sets and starshaped sets in Carnot groups and in the more general case of geometries of vector fields, including in particular the H\"ormander case. We develop some new notions and investigate their mutual relations and properties.
Keywords: Starshaped, starlike, convex, Heisenberg group, Carnot group, sub-Riemannian