2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62334We consider complete nearly Kähler manifolds with the canonical Hermitian connection. We prove some metric properties of strict nearly Kähler manifolds and give a sufficient condition for the reducibility of the canonical Hermitian connection. A holonomic condition for a nearly Kähler manifold to be a twistor space over a quaternionic Kähler manifold is given. This enables us to give classification results in 10-dimensions.10 pagesDifferential Geometry53C12, 53C24, 5C28, 53C29text