Cartan Connections and Lie Algebroids

被引：3

作者：

Crampin, Michael ^{[1
]}

机构：

[1] Univ Ghent, Dept Math Phys & Astron, B-9000 Ghent, Belgium

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2009年 / 5卷

关键词：

adjoint tractor bundle; algebroid connection; algebroid representation; Cartan connection; Cartan geometry; Lie algebroid; tractor calculus; PARABOLIC GEOMETRIES;

D O I：

10.3842/SIGMA.2009.061

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is a study of the relationship between two constructions associated with Cartan geometries, both of which involve Lie algebroids: the Cartan algebroid, due to [Blaom A. D., Trans. Amer. Math. Soc. 358 (2006), 3651-3671], and tractor calculus [Cap A., Gover A. R., Trans. Amer. Math. Soc. 354 (2001), 1511-1548].

引用

页数：13