SubRiemannian cut time and cut locus in Reiter-Heisenberg groups
arXiv:2312.14771
Abstract
We study the subRiemannian cut time and cut locus of a given point in a class of step-2 Carnot groups of Reiter-Heisenberg type. Following the Hamiltonian point of view, we write and analyze extremal curves, getting the cut time of any of them, and a precise description of the set of cut points.
Accepted version (to appear on ESAIM: Control, Optimisation and Calculus of Variations)