Riemannian Geometry of Lie Algebroids

Mohamed Boucetta

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arXiv · 0806.3522

Riemannian Geometry of Lie Algebroids

Mohamed Boucetta

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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.

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Mohamed Boucetta. 2008-08-29. Riemannian Geometry of Lie Algebroids. https://arxiv.org/abs/0806.3522

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