2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58518Having fixed a Kaehler class and the unique corresponding hyperkaehler metric, we prove that all special Lagrangian submanifolds of an irreducible symplectic 4-fold X are bi-Lagrangian and that they are obtained by complex submanifolds via a sort of "hyperkaehler rotation trick"; thus they retain part of the rigidity of complex submanifolds: indeed all special Lagrangian submanifolds of X turn out to be real analytic.9 pagesDifferential GeometryMathematical Physics53C15 (Primary); 53A40, 51P05 (Secondary)text