Courant-Dorfman algebras of differential operators and Dorfman connections of Courant algebroids
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866916141756055552 |
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| author | Batakidis, Panagiotis Petalidou, Fani |
| author_facet | Batakidis, Panagiotis Petalidou, Fani |
| contents | We construct an algebra and a complex of multidifferential operators on tensor products of a Courant algebroid E with values in the endomorphism bundle of a smooth vector bundle B, predual of E, extending the standard complex of the Courant-Dorfman algebra of E. Also, we study Dorfman connections of E on B, and show that the Cartan calculus, curvatures of induced connections and basic differential geometric identities of them make sense in this algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2002_10175 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Courant-Dorfman algebras of differential operators and Dorfman connections of Courant algebroids Batakidis, Panagiotis Petalidou, Fani Differential Geometry 53C05, 53D17, 58J10, 58A15, 16S32, 17B35, 17B55, 70G45 We construct an algebra and a complex of multidifferential operators on tensor products of a Courant algebroid E with values in the endomorphism bundle of a smooth vector bundle B, predual of E, extending the standard complex of the Courant-Dorfman algebra of E. Also, we study Dorfman connections of E on B, and show that the Cartan calculus, curvatures of induced connections and basic differential geometric identities of them make sense in this algebra. |
| title | Courant-Dorfman algebras of differential operators and Dorfman connections of Courant algebroids |
| topic | Differential Geometry 53C05, 53D17, 58J10, 58A15, 16S32, 17B35, 17B55, 70G45 |
| url | https://arxiv.org/abs/2002.10175 |