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Riemannian Geometry of Lie Algebroids

Differential Geometry 2008-08-29 v2 Symplectic Geometry

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

Cite

@article{arxiv.0806.3522,
  title  = {Riemannian Geometry of Lie Algebroids},
  author = {Mohamed Boucetta},
  journal= {arXiv preprint arXiv:0806.3522},
  year   = {2008}
}

Comments

typos corrected references added