Lorentzian anti-de Sitter plane
Differential Geometry
2024-07-11 v1 Metric Geometry
Optimization and Control
Abstract
In this paper, we study a two-dimensional Lorentzian problem on the anti-de Sitter plane. Using methods of geometric control theory and differential geometry, it was possible to construct an orthonormal frame, calculate extremal trajectories, describe the reachable set, construct an optimal synthesis, and describe the Lorentzian distance.
Cite
@article{arxiv.2407.07172,
title = {Lorentzian anti-de Sitter plane},
author = {A. Z. Ali and Yu. L. Sachkov},
journal= {arXiv preprint arXiv:2407.07172},
year = {2024}
}
Comments
In Russian