SubRiemannian cut time and cut locus in Reiter-Heisenberg groups
Optimization and Control
2024-08-22 v3
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.
Keywords
Cite
@article{arxiv.2312.14771,
title = {SubRiemannian cut time and cut locus in Reiter-Heisenberg groups},
author = {Annamaria Montanari and Daniele Morbidelli},
journal= {arXiv preprint arXiv:2312.14771},
year = {2024}
}
Comments
Accepted version (to appear on ESAIM: Control, Optimisation and Calculus of Variations)