Flat sub-Lorentzian structures on Martinet distribution

2024/07/05 by Yu. L. Sachkov, Sachkov, Yu. L. · 1 citation
Mathematics · Medicine · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Ophthalmology and Eye Disorders #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.2407.04341

openalex publication_date 2024/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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