| Texto completo | |
| Autor(es): |
Clarke, Andrew
;
Del Barco, Viviana
;
Moreno, Andres J.
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Advances in Theoretical and Mathematical Physics; v. 29, n. 3, p. 64-pg., 2025-01-01. |
| Resumo | |
We study the G(2)-instanton condition for a family of metric connections arisen from the characteristic connection, on 7-dimensional 2step nilpotent Lie groups with left-invariant coclosed G(2)-structures. According to the dimension of the commutator subgroup, we establish necessary and sufficient conditions for the connection to be an instanton, in terms of the torsion of the G(2)-structure, the torsion of the connection and the Lie group structure. Moreover, we show that in our setup, G(2)-instantons define a naturally reductive structure on the simply connected 2-step nilpotent Lie group with left-invariant Riemannian metric. Taking quotient by lattices, one obtains G(2)-instantons on compact nilmanifolds. (AU) | |
| Processo FAPESP: | 21/08026-5 - Geometrias especiais e subvariedades calibradas |
| Beneficiário: | Andrés Julián Moreno Ospina |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |
| Processo FAPESP: | 21/09197-8 - Métricas invariantes especiais em grupos de Lie e seus quocientes compactos |
| Beneficiário: | Viviana Jorgelina Del Barco |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |