Algebroids - general differential calculi on vector bundles

JOURNAL OF GEOMETRY AND PHYSICS

卷:31

Article

Grabowski, J ; Urbanski, P

关键词: Lie algebroid;    exterior derivative;    Poisson structure;    tangent lift;    vector bundle;    Lie bialgebra;   

DOI  :  10.1016/S0393-0440(99)00007-8

来源: Elsevier

【 摘 要 】

A notion of an algebroid - a generalization of a Lie algebroid structure on a vector bundle is introduced. We show that many objects of the differential calculus on a manifold M associated with the canonical Lie algebroid structure on TM can be obtained in the framework of a general algebroid. Also a compatibility condition which leads, in general, to a concept of a bialgebroid. (C) 1999 Elsevier Science B.V. All rights reserved.

【 授权许可】

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