Locally conformal parallel $G_2$ and $Spin(7)$ manifolds

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125920We characterize compact locally conformal parallel $G_2$ (respectively, $Spin(7)$) manifolds as fiber bundles over $S^1$ with compact nearly Kähler (respectively, compact nearly parallel $G_2$) fiber. A more specific characterization is provided when the local parallel structures are flat.References updatedDifferential Geometry53C25Locally conformal parallel $G_2$ and $Spin(7)$ manifoldstext