Sub-Lorentzian geometry on the Martinet distribution
type: Item
instance of: scholarly article
title: Sub-Lorentzian geometry on the Martinet distribution
author: Yu L. Sachkov
published in: Doklady Mathematics
publication date: 2024-11-06T00:00:00Z
review text: The paper is devoted to two sub-Lorentzian problems on the Martinet distribution and the general goal of the paper is to describe the main features of the solution: optimal synthesis, distance and related spheres. For the first problem, it occurs that the future cone has a nontrivial intersection with the tangent space to the Martinet surface; for the second problem, this intersection is trivial. Accordingly, sub-Lorentzian geometry occurs to be significantly more complicated in the first case. Reachable sets, optimal trajectories, and sub-Lorentzian distances and spheres are described. The article may be of interest to specialists in optimal control theory.
reviewed by: T. F. Filippova
Mathematics Subject Classification ID: 53C17
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 7939886
zbMATH Keywords: Martinet distribution
zbMATH Keywords: reachable sets
zbMATH Keywords: sub-Lorentzian distances
MaRDI profile type: Publication
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DOI: 10.1134/S1064562424702053
description: scientific article; zbMATH DE number 7939886