Homogeneity of magnetic trajectories in the real special linear group
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866914844301590528 |
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| author | Inoguchi, Jun-ichi Munteanu, Marian Ioan |
| author_facet | Inoguchi, Jun-ichi Munteanu, Marian Ioan |
| contents | We prove the homogeneity of contact magnetic curves in the real special linear group of degree $2$. Every contact magnetic trajectory is a product of a homogeneous geodesic and a charged Reeb flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13988 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homogeneity of magnetic trajectories in the real special linear group Inoguchi, Jun-ichi Munteanu, Marian Ioan Differential Geometry 53C15, 53C25, 53C30, 37J45, 53C80 We prove the homogeneity of contact magnetic curves in the real special linear group of degree $2$. Every contact magnetic trajectory is a product of a homogeneous geodesic and a charged Reeb flow. |
| title | Homogeneity of magnetic trajectories in the real special linear group |
| topic | Differential Geometry 53C15, 53C25, 53C30, 37J45, 53C80 |
| url | https://arxiv.org/abs/2401.13988 |