Local control on quaternionic Heisenberg group of dimension $7$
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910409543385088 |
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| author | Eisner, Jan Zalabová, Lenka |
| author_facet | Eisner, Jan Zalabová, Lenka |
| contents | We describe the quaternionic Heisenberg group in the dimension $7$ as a matrix group. We study the local control of a compatible left-invariant control system. We describe the impact of symmetries of the corresponding sub-Riemannian structure on the optimality of geodesics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08953 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Local control on quaternionic Heisenberg group of dimension $7$ Eisner, Jan Zalabová, Lenka Differential Geometry Optimization and Control 22E60, 53C17, 35R03 We describe the quaternionic Heisenberg group in the dimension $7$ as a matrix group. We study the local control of a compatible left-invariant control system. We describe the impact of symmetries of the corresponding sub-Riemannian structure on the optimality of geodesics. |
| title | Local control on quaternionic Heisenberg group of dimension $7$ |
| topic | Differential Geometry Optimization and Control 22E60, 53C17, 35R03 |
| url | https://arxiv.org/abs/2404.08953 |