Algebroids - general differential calculi on vector bundles

被引：62
作者：
Grabowski, J
Urbanski, P
机构：
[1] Warsaw Univ, Inst Math, PL-02097 Warsaw, Poland
[2] Univ Warsaw, Div Math Methods Phys, PL-00682 Warsaw, Poland
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 1999年 / 31卷 / 2-3期
关键词：
Lie algebroid; exterior derivative; Poisson structure; tangent lift; vector bundle; Lie bialgebra;
D O I：
10.1016/S0393-0440(99)00007-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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收藏
页码：111 / 141
页数：31
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