SubRiemannian cut time and cut locus in Reiter-Heisenberg groups
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909292558286848 |
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| author | Montanari, Annamaria Morbidelli, Daniele |
| author_facet | Montanari, Annamaria Morbidelli, Daniele |
| contents | We study the subRiemannian cut time and cut locus of a given point in a class of step-2 Carnot groups of Reiter-Heisenberg type. Following the Hamiltonian point of view, we write and analyze extremal curves, getting the cut time of any of them, and a precise description of the set of cut points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_14771 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | SubRiemannian cut time and cut locus in Reiter-Heisenberg groups Montanari, Annamaria Morbidelli, Daniele Optimization and Control 53C17, 53C22 We study the subRiemannian cut time and cut locus of a given point in a class of step-2 Carnot groups of Reiter-Heisenberg type. Following the Hamiltonian point of view, we write and analyze extremal curves, getting the cut time of any of them, and a precise description of the set of cut points. |
| title | SubRiemannian cut time and cut locus in Reiter-Heisenberg groups |
| topic | Optimization and Control 53C17, 53C22 |
| url | https://arxiv.org/abs/2312.14771 |