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Sub-Lorentzian geometry on the Martinet distribution
- Authors: Sachkov Y.L.1
-
Affiliations:
- A.K. Ailamazyan Program Systems Institute of the Russian Academy of Sciences
- Issue: Vol 517, No 1 (2024)
- Pages: 38-40
- Section: MATHEMATICS
- URL: https://journal-vniispk.ru/2686-9543/article/view/265369
- DOI: https://doi.org/10.31857/S2686954324030068
- EDN: https://elibrary.ru/YBFLEK
- ID: 265369
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Abstract
Two problems of sub-Lorentzian geometry on the Martinet distribution are studied. For the first, the reachability set has a nontrivial intersection with the Martinet plane, but for the second it does not. Reachable sets, optimal trajectories, sub-Lorentzian distances and spheres are described.
About the authors
Yu. L. Sachkov
A.K. Ailamazyan Program Systems Institute of the Russian Academy of Sciences
Author for correspondence.
Email: yusachkov@gmail.com
Russian Federation
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