Natural parallel translation and connection associated to navigation data
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866909981107814400 |
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| author | Mezrag, Asma Muzsnay, Zoltan Vincze, Csaba |
| author_facet | Mezrag, Asma Muzsnay, Zoltan Vincze, Csaba |
| contents | In this paper, we consider the geometric setting of navigation data and introduce a natural parallel translation using the Riemannian parallelism. The geometry obtained in this way has some nice and natural features: the natural parallel translation is homogeneous (but in general nonlinear), preserves the Randers type Finslerian norm constituted by the navigation data, and the holonomy group is finite-dimensional. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_01486 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Natural parallel translation and connection associated to navigation data Mezrag, Asma Muzsnay, Zoltan Vincze, Csaba Differential Geometry 51D15, 53C60, 53C29, 53B40 In this paper, we consider the geometric setting of navigation data and introduce a natural parallel translation using the Riemannian parallelism. The geometry obtained in this way has some nice and natural features: the natural parallel translation is homogeneous (but in general nonlinear), preserves the Randers type Finslerian norm constituted by the navigation data, and the holonomy group is finite-dimensional. |
| title | Natural parallel translation and connection associated to navigation data |
| topic | Differential Geometry 51D15, 53C60, 53C29, 53B40 |
| url | https://arxiv.org/abs/2601.01486 |