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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Fernandes, Rui Loja [1] ; Struchiner, Ivan [2]
Total Authors: 2
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 15, n. 2, SI OCT 2021.
Web of Science Citations: 0
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. (AU)

FAPESP's process: 15/22059-2 - Geometry and topology via Lie Theory
Grantee:Ivan Struchiner
Support Opportunities: Regular Research Grants