The Classifying Lie Algebroid of a Geometric Structure II: G-structures with connection

2021/07/02 by Fernandes, Rui Loja, Struchiner, Ivan · 2 citations
#53C10 (Primary) 53A55 #58D27 #58H05 (Secondary) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2107.01193

Abstract

Given a G-structure with connection satisfying a regularity assumption we associate to it a classifying Lie algebroid. This algebroid contains all the information about the equivalence problem and is an example of a G-structure Lie algebroid. We discuss the properties of this algebroid, the G-structure groupoids integrating it and the relationship with Cartan's realization problem.

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