2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218330On a compact complex manifold we study the behaviour of strong Kähler with torsion (strong KT) structures under small deformations of the complex structure and the problem of extension of a strong KT metric. In this context we obtain the analogous result of Miyaoka extension theorem. Studying the blow-up of a strong KT manifold at a point or along a complex submanifold, we prove that a complex orbifold endowed with a strong KT metric admits a strong KT resolution. In this way we obtain new examples of compact simply-connected strong KT manifolds.19 pages, to be published in Adv. MathDifferential Geometry53C15; 22E25; 58U25text