International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 23, Pages 1465-1480
doi:10.1155/S0161171203111064
Universal connections on Lie groupoids
Efstathios Vassiliou
and Apostolos Nikolopoulos
Department of Mathematics, University of Athens, Panepistimiopolis, Athens 15784, Greece
Abstract
Given a Lie groupoid Ω, we construct a groupoid J1Ω 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)).