2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66169For all $m > 0$ we build a two-dimensional family of smooth manifolds of real dimension $3m + 2$ and use it to interpolate between the anticanonical family in the complex projective space of dimension $m + 1$ and its mirror dual. The main tool is the notion of self-dual manifold.21 pages, no figures; in v2 corrected typo in Definition 2.1Algebraic Geometry14J32; 52B15; 53D20Self-dual manifolds and mirror symmetry for the quintic threefoldtext