2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/51100Some selected applications of KT and HKT geometries in string theory, supergravity, black hole moduli spaces and hermitian geometry are reviewed. It is shown that the moduli spaces of a large class of five-dimensional supersymmetric black holes are HKT spaces. In hermitian geometry, it is shown that a compact, conformally balanced, strong KT manifold whose associated KT connection has holonomy contained in SU(n) is Calabi-Yau. The implication of this result in the context of some string compactifications is explained.26 pages, Contribution to the Proceedings of the Bonn workshop on "Special Geometric Structures in String Theory", a change in terminology and some other minor changesHigh Energy Physics - TheoryDifferential Geometrytext