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On Generalized Algebroids

In: New Developments in Differential Geometry, Budapest 1996

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  • Paul Popescu

    (University of Craiova, Department of Mathematics)

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.

Suggested Citation

  • Paul Popescu, 1999. "On Generalized Algebroids," Springer Books, in: J. Szenthe (ed.), New Developments in Differential Geometry, Budapest 1996, pages 329-342, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-5276-1_24
    DOI: 10.1007/978-94-011-5276-1_24
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