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| HAL : hal-00013531, version 1 |
| arXiv : q-alg/9503020 |
| Fiche détaillée |  Récupérer au format |
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| Journal of Geometry and Physics 20 (1996) 218-232 |
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| Connections on central bimodules in noncommutative differential geometry. |
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| Michel Dubois-Violette 1Peter W. Michor |
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| (1995) |
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| We define and study the theory of derivation-based connections on a recently introduced class of bimodules over an algebra which reduces to the category of modules whenever the algebra is commutative. This theory contains, in particular, a noncommutative generalization of linear connections. We also discuss the different noncommutative versions of differential forms based on derivations. Then we investigate reality conditions and a noncommutative generalization of pseudo-riemannian structures. |
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| 1 : | Laboratoire de Physique Théorique d'Orsay (LPT) |
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CNRS : UMR8627 – Université Paris XI - Paris Sud |
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| Domaine | : | Mathématiques/Algèbres quantiques Mathématiques/Géométrie différentielle |
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| Lien vers le texte intégral : |
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| http://fr.arXiv.org/abs/q-alg/9503020 |
| hal-00013531, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00013531 | |
| oai:hal.archives-ouvertes.fr:hal-00013531 | |
| Contributeur : Patricia Dubois-Violette | |
| Soumis le : Mercredi 9 Novembre 2005, 10:43:29 | |
| Dernière modification le : Mercredi 9 Novembre 2005, 10:43:29 | |
