Lorentzian problems on the Heisenberg group
Differential Geometry
2025-07-09 v2 Metric Geometry
Optimization and Control
Abstract
Three left-invariant Lorentzian problems on the Heisenberg group are considered. The Pontryagin maximum principle was applied to both problems and a parameterization of abnormal and normal extremal trajectories was obtained. Reachability sets and the existence of optimal trajectories are investigated.
Cite
@article{arxiv.2407.07379,
title = {Lorentzian problems on the Heisenberg group},
author = {I. A. Galyaev and Yu. L. Sachkov},
journal= {arXiv preprint arXiv:2407.07379},
year = {2025}
}
Comments
In Russian