2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62997We identify the space of left-invariant oriented complex structures on the complex Heisenberg group, and prove that it has the homotopy type of the disjoint union of a point and a 2-sphere.Differential Geometry53C15 (Primary) 32G05, 22E25 (Secondary)Complex structures on the Iwasawa manifoldtext