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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 524-570 |
| Number of pages | 47 |
| Journal | Sao Paulo Journal of Mathematical Sciences |
| Volume | 15 |
| Issue number | 2 |
| DOIs | |
| State | Published - Dec 2021 |
Keywords
- G-structures
- Lie algebroids
- Lie groupoids
ASJC Scopus subject areas
- Mathematics(all)
- Statistics, Probability and Uncertainty
- Computational Theory and Mathematics