Abstract
A generalized algebroid is defined in the paper. It includes the known definitions of Lie algebroid, prealgebroid and Courant algebroid, but the new definition of a generalized prealgebroid. A global groupoidlike structure is defined and a generalized algebroid is associated with. Some non-trivial examples are given. The morphisms of algebroids are defined. Contravariant functors from the categories of algebroids with an antisymmetric bracket in the category of graded differential algebras are constructed. It is proved that a generalized algebroid defines a Stefan-Sussmann foliation.
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© 1999 Springer Science+Business Media Dordrecht
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Popescu, P. (1999). On Generalized Algebroids. In: Szenthe, J. (eds) New Developments in Differential Geometry, Budapest 1996. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5276-1_24
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DOI: https://doi.org/10.1007/978-94-011-5276-1_24
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