The Schouten-Nijenhuis bracket, codifferential of products and generalized interior products of $p$-forms
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911049512386560 |
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| author | Huguet, E. Queva, J. Renaud, J. |
| author_facet | Huguet, E. Queva, J. Renaud, J. |
| contents | Identities pertaining to the de Rham codifferential $δ$ in differential geometry are scattered in the literature. This article gathers such formulas involving usual differential operators (Lie derivative, Schouten-Nijenhuis bracket, etc.), while adding some new ones using a natural extension of the interior product, to provide a compact handy summary |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02476 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Schouten-Nijenhuis bracket, codifferential of products and generalized interior products of $p$-forms Huguet, E. Queva, J. Renaud, J. Mathematical Physics General Relativity and Quantum Cosmology Differential Geometry Identities pertaining to the de Rham codifferential $δ$ in differential geometry are scattered in the literature. This article gathers such formulas involving usual differential operators (Lie derivative, Schouten-Nijenhuis bracket, etc.), while adding some new ones using a natural extension of the interior product, to provide a compact handy summary |
| title | The Schouten-Nijenhuis bracket, codifferential of products and generalized interior products of $p$-forms |
| topic | Mathematical Physics General Relativity and Quantum Cosmology Differential Geometry |
| url | https://arxiv.org/abs/2406.02476 |