Sub-Lorentzian geometry on the Martinet distribution
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.
Authors
- Yu. L. Sachkov
Institutions
- Program Systems Institute of RAS (RU)
Publication Details
- Journal
- Доклады Российской академии наук Математика информатика процессы управления
- Published
- 2024-10-03
- DOI
- https://doi.org/10.31857/s2686954324030068
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00