Algebroids - general differential calculi on vector bundles
arXiv:math/9909174 · doi:10.1016/S0393-0440(99)00007-8
Abstract
A notion of an algebroid - a generalization of a Lie algebroid structure is introduced. We show that many objects of the differential calculus on a manifold M associated with the canonical Lie algebroid structure on T^M can be obtained in the framework of a general algebroid. Also a compatibility condition which leads, in general, to a concept of a bialgebroid.
26 pages, LamsTeX. To appear in Journal of Geometry and Physics