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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 061, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.061 (Mi sigma407) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Cartan Connections and Lie Algebroids

Michael Crampin

Department of Mathematical Physics and Astronomy, Ghent University, Krijgslaan 281, B–9000 Gent, Belgium
Full-text PDF (211 kB) Citations (3)
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DOI: https://doi.org/10.3842/SIGMA.2009.061
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.
Received: March 23, 2009; in final form June 7, 2009; Published online June 14, 2009
Bibliographic databases:
Document Type: Article
MSC: 53B05; 53C05; 53C15
Language: English
Citation: Michael Crampin, “Cartan Connections and Lie Algebroids”, SIGMA, 5 (2009), 061, 13 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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