2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73190Let (J,g) be a Hermitian structure on a compact nilmanifold M with invariant complex structure J and compatible metric g, which is not required to be invariant. We give classifications of 6-dimensional nilmanifolds M admitting strong Kähler with torsion, balanced or locally conformal Kähler structures (J,g).LaTeX, 24 pages, 1 figureDifferential Geometry53C55 (Primary) 17B30, 32G05 (Secondary)text