arXiv:submit/0064778 [math.AT] 24 Jun 2010 Transitive Lie algebroids - categorical point of view A.S.Mishchenko Moscow State University Intro duction Transitive Lie algebroids have specific properties that allow to lo ok at the transitive Lie algebroid as an element of the ob ject of a homotopy functor. Roughly speaking each transitive Lie algebroids can be described as a vector bundle over the tangent bundle of the manifold which is endowed with additional structures. ...
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