Homogeneity of magnetic trajectories in the Berger sphere
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866915250440241152 |
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| author | Inoguchi, Jun-ichi Munteanu, Marian Ioan |
| author_facet | Inoguchi, Jun-ichi Munteanu, Marian Ioan |
| contents | We study the homogeneity of contact magnetic trajectories in naturally reductive Berger spheres. We prove that every contact magnetic trajectory is a product of a homogeneous geodesic and a charged Reeb flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15886 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homogeneity of magnetic trajectories in the Berger sphere Inoguchi, Jun-ichi Munteanu, Marian Ioan Differential Geometry 53C15, 53C25, 53C30, 37J46, 53C80 We study the homogeneity of contact magnetic trajectories in naturally reductive Berger spheres. We prove that every contact magnetic trajectory is a product of a homogeneous geodesic and a charged Reeb flow. |
| title | Homogeneity of magnetic trajectories in the Berger sphere |
| topic | Differential Geometry 53C15, 53C25, 53C30, 37J46, 53C80 |
| url | https://arxiv.org/abs/2406.15886 |