Algebroids - general differential calculi on vector bundles
Differential Geometry
2009-10-31 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.math/9909174,
title = {Algebroids - general differential calculi on vector bundles},
author = {Janusz Grabowski and Pawel Urbanski},
journal= {arXiv preprint arXiv:math/9909174},
year = {2009}
}
Comments
26 pages, LamsTeX. To appear in Journal of Geometry and Physics