2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98056We consider manifolds of oriented flags SO(n)/SO(2)xSO(n-3) (n>=4) as 4- and 6-symmetric spaces and indicate characteristic conditions for invariant Riemannian metrics under which the canonical f-structures on these homogeneous $Φ$-spaces belong to the classes Kill f, NKf and G_1f of generalized Hermitian geometry.15 pagesDifferential Geometry53C15; 53C30; 53C10; 53C35text