Flat sub-Lorentzian structures on Martinet distribution

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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Publication Details

Journal
ESAIM Control Optimisation and Calculus of Variations
Published
2025-01-01
DOI
https://doi.org/10.1051/cocv/2025005
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00

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article

Flat sub-Lorentzian structures on Martinet distribution

Yuri L. Sachkov
ESAIM Control Optimisation and Calculus of Variations
Geometric Analysis and Curvature Flows
article

Flat sub-Lorentzian structures on Martinet distribution

Yuri L. Sachkov
article en

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.

ESAIM Control Optimisation and Calculus of VariationsVol. 31
Program Systems Institute of RAS (RU)
Foundation for the Advancement of Theoretical Physics and Mathematics
Openalex Percentile: Top 99%
Geometric Analysis and Curvature Flows
DOIOpen Access PDFOpenAlex
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Flat sub-Lorentzian structures on Martinet distribution — Yuri L. Sachkov · ESAIM Control Optimisation and Calculus of Variations (2025) | TGRS Research Map | TGRS