The classifying Lie algebroid of a geometric structure II: G-structures with connection

Autor(es)

Fernandes, Rui Loja ^[1] ; Struchiner, Ivan ^[2]

Afiliação do(s) autor(es)

^[1] Univ Illinois, Dept Math, 1409 W Green St, Urbana, IL 61801 - USA

^[2] Univ Sao Paulo, Dept Matemat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 15, n. 2, SI OCT 2021.
• Citações Web of Science: 0

Resumo

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. (AU)

• Processo FAPESP: 15/22059-2 - Geometria e topologia via Teoria de Lie
• Beneficiário: Ivan Struchiner
• Modalidade de apoio: Auxílio à Pesquisa - Regular