Homogeneous nonlinear splittings and Finsler submersions
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866917210394460160 |
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| author | Hajdu, S. Mestdag, T. |
| author_facet | Hajdu, S. Mestdag, T. |
| contents | A nonlinear splitting on a fibre bundle is a generalization of an Ehresmann connection. An example is given by the homogeneous nonlinear splitting of a Finsler function on the total manifold of a fibre bundle. We show how homogeneous nonlinear splittings and nonlinear lifts can be used to construct submersions between Euclidean, Minkowski and Finsler spaces. As an application we consider a semisimple Lie algebra and use our methods to give new examples of Finsler functions on a reductive homogeneous space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_04411 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Homogeneous nonlinear splittings and Finsler submersions Hajdu, S. Mestdag, T. Differential Geometry Mathematical Physics 53B40, 53C60, 53C05, 53C30 A nonlinear splitting on a fibre bundle is a generalization of an Ehresmann connection. An example is given by the homogeneous nonlinear splitting of a Finsler function on the total manifold of a fibre bundle. We show how homogeneous nonlinear splittings and nonlinear lifts can be used to construct submersions between Euclidean, Minkowski and Finsler spaces. As an application we consider a semisimple Lie algebra and use our methods to give new examples of Finsler functions on a reductive homogeneous space. |
| title | Homogeneous nonlinear splittings and Finsler submersions |
| topic | Differential Geometry Mathematical Physics 53B40, 53C60, 53C05, 53C30 |
| url | https://arxiv.org/abs/2111.04411 |