| Issue |
ESAIM: COCV
Volume 31, 2025
|
|
|---|---|---|
| Article Number | 40 | |
| Number of page(s) | 28 | |
| DOI | https://doi.org/10.1051/cocv/2025005 | |
| Published online | 25 April 2025 | |
Flat sub-Lorentzian structures on Martinet distribution
Ailamazyan Program Systems Institute of RAS, RUDN University,
Moscow, Russia
* Corresponding author: yusachkov@gmail.com
Received:
27
February
2024
Accepted:
2
January
2025
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.
Mathematics Subject Classification: 93C10 / 49K15 / 53C22
Key words: sub-Lorentzian geometry / geometric control theory / Martinet distribution / sub-Lorentzian length maximizers / sub-Lorentzian distance / sub-Lorentzian sphere
© The authors. Published by EDP Sciences, SMAI 2025
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