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.

引用

页码：111 / 141

页数：31

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