As a continuation of previous papers, we study the concept of a Lie algebroid structure on an affine bundle by means of the canonical immersion of the affine bundle into its bidual. We pay particular attention to the prolongation and various lifting procedures, and to the geometrical construction of
β¦ LIBER β¦
Compatible Structures on Lie Algebroids and
β Scribed by Yvette Kosmann-Schwarzbach; Vladimir Rubtsov
- Publisher
- Springer Netherlands
- Year
- 2009
- Tongue
- English
- Weight
- 812 KB
- Volume
- 109
- Category
- Article
- ISSN
- 0167-8019
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We extend the notion of connection in order to study singular geometric structures, namely, we consider a notion of connection on a Lie algebroid which is a natural extension of the usual concept of a covariant connection. It allows us to define holonomy of the orbit foliation of a Lie algebroid and