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arXiv · 2107.01193

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

Rui Loja Fernandes·Ivan Struchiner
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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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Rui Loja Fernandes, Ivan Struchiner. 2021-07-02. The Classifying Lie Algebroid of a Geometric Structure II: G-structures with connection. https://arxiv.org/abs/2107.01193

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