Flat sub-Lorentzian structures on Martinet distribution
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916313497075712 |
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| author | Sachkov, Yu. L. |
| author_facet | Sachkov, Yu. L. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_04341 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Flat sub-Lorentzian structures on Martinet distribution Sachkov, Yu. L. Optimization and Control Differential Geometry Metric Geometry 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. |
| title | Flat sub-Lorentzian structures on Martinet distribution |
| topic | Optimization and Control Differential Geometry Metric Geometry |
| url | https://arxiv.org/abs/2407.04341 |