16 citations · 35 across the 9 of their papers we have counts for
4 papers · 1 filter
Infinite geodesics of sub-Finsler distances in the Heisenberg groups
Z. M. Balogh, A. Calogero
We consider Heisenberg groups equipped with a sub-Finsler metric. Using methods of optimal control theory we prove that in this geometric setting the infinite geodesics are horizon…
On the -cone-functions for H-convex sets
Andrea Calogero, Rita Pini
Given a compact and H-convex subset of the Heisenberg group , with the origin in its interior, we are interested in finding a homogeneous H-convex function …
c horizontal convexity on Carnot groups
Andrea Calogero, Rita Pini
Given a real-valued function defined on the cartesian product of a generic Carnot group $\G$ and the first layer of its Lie algebra, we introduce a notion of horizont…
Horizontal normal map on the Heisenberg group
A. Calogero, R. Pini
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 t…