2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76202In the context of generalized geometry we first show how the Courant bracket helps to define connections with skew torsion and then investigate a five-dimensional invariant functional and its associated geometry. A Hamiltonian flow arising from this corresponds to a version of the Nahm equations using the Courant bracket, and we investigate the six-dimensional geometrical structure this describes.26 pages; dedicated to the memory of S.S.ChernDifferential GeometryHigh Energy Physics - Theory58A10; 53A40text