A formula for the k-th covariant derivative
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866909493033435136 |
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| author | Trenčevski, Kostadin |
| author_facet | Trenčevski, Kostadin |
| contents | The aim of the present paper is to give a formula for the $k$-th covariant derivative of tensor field along a given curve. In order to do that, first the symbols $P^{i<k>}_{j}$ and $Q^{i<k>}_{j}$ which depend on the Christoffel symbols are introduced. Some properties of them are also given. The main result is given by (3.1) and further it is generalized for $k\in R$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09632 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A formula for the k-th covariant derivative Trenčevski, Kostadin Differential Geometry The aim of the present paper is to give a formula for the $k$-th covariant derivative of tensor field along a given curve. In order to do that, first the symbols $P^{i<k>}_{j}$ and $Q^{i<k>}_{j}$ which depend on the Christoffel symbols are introduced. Some properties of them are also given. The main result is given by (3.1) and further it is generalized for $k\in R$. |
| title | A formula for the k-th covariant derivative |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2502.09632 |