Algebroids - general differential calculi on vector bundles

Details Algebroids - general differential calculi on vector bundles Algebroids - general differential calculi on vector bundles

1999-09-29

arxiv.org/abs/math/9909174v1

Mathematics

Differential Geometry

26 pages, LamsTeX. To appear in Journal of Geometry and Physics

Scientific paper

10.1016/S0393-0440(99)00007-8

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.

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