TL;DR
This paper explores the relationship between Cartan algebroids and tractor calculus, both involving Lie algebroids, to deepen understanding of Cartan geometries and their associated structures.
Contribution
It establishes a connection between Cartan algebroids and tractor calculus, providing new insights into their interplay within Cartan geometries.
Findings
Identifies the relationship between Cartan algebroids and tractor calculus
Provides a framework linking two Lie algebroid constructions
Enhances understanding of Cartan geometries
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 [Cap A., Gover A.R., Trans. Amer. Math. Soc. 354 (2001), 1511-1548].
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