2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/55786We analyse the structure of N=1 and N=2 supersymmetric non-linear sigma-models built up with a pair of real superfields defined in the superspace of Atiyah-Ward space-time. The geometry arising has new features such as the existence of a locally product structure (N=1 case) and a set of automorphisms of the tangent space that is isomorphic to the split-quaternionic algebra (N=2 case).12 pages, no figuresHigh Energy Physics - Theorytext