2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63265We introduce self-dual manifolds and show that they can be used to encode mirror symmetry for affine-Kähler manifolds and for elliptic curves. Their geometric properties, especially the link with special lagrangian fibrations and the existence of a transformation similar to the Fourier-Mukai functor, suggest that this approach may be able to explain mirror symmetry also in other situations22 pagesDifferential Geometry53C15;53D99text