Michael Crampin, “Cartan Connections and Lie Algebroids”, SIGMA, 2009, Volume 5,061, 13 pp.

This article is cited in 3 papers

Cartan Connections and Lie Algebroids

Michael Crampin

Department of Mathematical Physics and Astronomy, Ghent University, Krijgslaan 281, B–9000 Gent, Belgium

Abstract: 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 [Čap A., Gover A.R., Trans. Amer. Math. Soc. 354 (2001), 1511–1548].

Keywords: adjoint tractor bundle; algebroid connection; algebroid representation; Cartan connection; Cartan geometry; Lie algebroid; tractor calculus.

MSC: 53B05; 53C05; 53C15

Received: March 23, 2009; in final form June 7, 2009; Published online June 14, 2009

Language: English

DOI: 10.3842/SIGMA.2009.061