2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215440We prove some basic properties of Donaldson's flow of surfaces in a hyperkahler 4-manifold. When the initial submanifold is symplectic with respect to one Kähler form and Lagrangian with respect to another, we show that certain kinds of singularities cannot form, and we prove a convergence result under a condition related to one considered by M.-T. Wang for the mean curvature flow.19 pagesDifferential GeometryOn Donaldson's flow of surfaces in a hyperkahler four-manifoldtext