Lie derivatives of sections of natural vector bundles
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912340560052224 |
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| author | Michor, Peter W. |
| author_facet | Michor, Peter W. |
| contents | Time derivatives of pullbacks and push forwards along smooth curves of diffeomorphism of sections of natural vector bundles are computed in terms of Lie derivatives along adapted non-autonomous vector fields by extending a key lemma in [Markus Mauhart, Peter W. Michor: Commutators of flows and fields. Arch. Math. (Brno) 28 (1992), 228-236. arXiv:math/9204221]. There is also the analogous result about the first non-vanishing derivative of higher order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_15605 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lie derivatives of sections of natural vector bundles Michor, Peter W. Differential Geometry 58A32 Time derivatives of pullbacks and push forwards along smooth curves of diffeomorphism of sections of natural vector bundles are computed in terms of Lie derivatives along adapted non-autonomous vector fields by extending a key lemma in [Markus Mauhart, Peter W. Michor: Commutators of flows and fields. Arch. Math. (Brno) 28 (1992), 228-236. arXiv:math/9204221]. There is also the analogous result about the first non-vanishing derivative of higher order. |
| title | Lie derivatives of sections of natural vector bundles |
| topic | Differential Geometry 58A32 |
| url | https://arxiv.org/abs/2504.15605 |