Riemannian geometry of Lie algebroids | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 19, Issue 1, June 2011, Page 57-70 PDF (470.94 K) | ||||
| DOI: 10.1016/j.joems.2011.09.009 | ||||
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| Author | ||||
| Mohamed Boucetta | ||||
| Faculty of Sciences and Technology, Cadi-Ayyad University, BP 549 Marrakech, Morocco | ||||
| Abstract | ||||
| We introduce Riemannian Lie algebroids as a generalization of Riemannian manifolds and we show that most of the classical tools and results known in Riemannian geometry can be stated in this setting. We give also some new results on the integrability of Riemannian Lie algebroids. | ||||
| Keywords | ||||
| Lie algebroids; Lie groupoids; Riemannian metrics | ||||
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