Lorentzian problems on the Heisenberg group
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866915374980661248 |
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| author | Galyaev, I. A. Sachkov, Yu. L. |
| author_facet | Galyaev, I. A. Sachkov, Yu. L. |
| contents | Three left-invariant Lorentzian problems on the Heisenberg group are considered. The Pontryagin maximum principle was applied to both problems and a parameterization of abnormal and normal extremal trajectories was obtained. Reachability sets and the existence of optimal trajectories are investigated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07379 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lorentzian problems on the Heisenberg group Galyaev, I. A. Sachkov, Yu. L. Differential Geometry Metric Geometry Optimization and Control Three left-invariant Lorentzian problems on the Heisenberg group are considered. The Pontryagin maximum principle was applied to both problems and a parameterization of abnormal and normal extremal trajectories was obtained. Reachability sets and the existence of optimal trajectories are investigated. |
| title | Lorentzian problems on the Heisenberg group |
| topic | Differential Geometry Metric Geometry Optimization and Control |
| url | https://arxiv.org/abs/2407.07379 |