Flat sub-Lorentzian structures on Martinet distribution
Optimization and Control
2024-07-08 v1 Differential Geometry
Metric Geometry
Abstract
Two flat sub-Lorentzian problems on the Martinet distribution are studied. For the first one, the attainable set has a nontrivial intersection with the Martinet plane, but for the second one it does not. Attainable sets, optimal trajectories, sub-Lorentzian distances and spheres are described.
Cite
@article{arxiv.2407.04341,
title = {Flat sub-Lorentzian structures on Martinet distribution},
author = {Yu. L. Sachkov},
journal= {arXiv preprint arXiv:2407.04341},
year = {2024}
}