Torsion-free connections on $G$-structures
| Autor: | Flamencourt, Brice |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Differential Geometry and its applications 91 (2023) 102075 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.difgeo.2023.102075 |
| Popis: | We prove that for a group $\mathrm{SO}_n(\mathrm{R}) \subset G \subset \mathrm{GL}_n (\mathrm{R})$, any $G$-structure on a smooth manifold can be endowed with a torsion free connection which is locally the Levi-Civita connection of a Riemannian metric in a given conformal class. In this process, we classify the admissible groups. Comment: 5 pages |
| Databáze: | arXiv |
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