Riemannian Geometry of Lie Algebroids

Details Riemannian Geometry of Lie Algebroids Riemannian Geometry of Lie Algebroids

2008-06-21

arxiv.org/abs/0806.3522v2

Mathematics

Differential Geometry

typos corrected references added

Scientific paper

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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