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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2024, Volume 517, Pages 38–40
DOI: https://doi.org/10.31857/S2686954324030068 (Mi danma527) 		 
MATHEMATICS

Sub-Lorentzian geometry on the Martinet distribution

Yu. L. Sachkov

Ailamazyan Program Systems Institute of Russian Academy of Sciences
Full-text PDF
DOI: https://doi.org/10.31857/S2686954324030068
Abstract: Two problems of sub-Lorentzian geometry on the Martinet distribution are studied. For the first one, the reachable set has a nontrivial intersection with the Martinet plane, while a trivial intersection occurs for the second problem. Reachable sets, optimal trajectories, and sub-Lorentzian distances and spheres are described.
Keywords: sub-Lorentzian geometry, geometric control theory, Martinet distribution.
Funding agency Grant number
Russian Science Foundation 22-11-00140
This work was supported by the Russian Science Foundation, project no. 22-11-00140, https://rscf.ru/en/project/ 22-11-00140/.
Presented: R. V. Gamkrelidze
Received: 27.02.2024
Revised: 28.03.2024
Accepted: 10.04.2024
English version:
Doklady Mathematics, 2024, Volume 109, Issue 3, Pages 221–223
DOI: https://doi.org/10.1134/S1064562424702053
Bibliographic databases:
Document Type: Article
UDC: 516.968
Language: Russian
Citation: Yu. L. Sachkov, “Sub-Lorentzian geometry on the Martinet distribution”, Dokl. RAN. Math. Inf. Proc. Upr., 517 (2024), 38–40; Dokl. Math., 109:3 (2024), 221–223
Citation in format AMSBIB
\Bibitem{Sac24}
\by Yu.~L.~Sachkov
\paper Sub-Lorentzian geometry on the Martinet distribution
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2024
\vol 517
\pages 38--40
\mathnet{http://mi.mathnet.ru/danma527}
\crossref{https://doi.org/10.31857/S2686954324030068}
\elib{https://elibrary.ru/item.asp?id=69204686}
\transl
\jour Dokl. Math.
\yr 2024
\vol 109
\issue 3
\pages 221--223
\crossref{https://doi.org/10.1134/S1064562424702053}
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