Universal connections on Lie groupoids

Efstathios Vassiliou and Apostolos Nikolopoulos

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-16

Abstract:

Given a Lie groupoid Ω , we construct a groupoid J 1 Ω equipped with a universal connection from which all the connections of Ω are obtained by certain pullbacks. We show that this general construction leads to universal connections on principal bundles (considered by García (1972)) and universal linear connections on vector bundles (ultimately related with those of Cordero et al. (1989)).

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:318909

DOI: 10.1155/S0161171203111064

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