2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115268We study geodesics of Hofer's metric on the space of Lagrangian submanifolds in arbitrary symplectic manifolds from the variational point of view. We give a characterization of length-critical paths with respect to this metric. As a result, we prove that if two Lagrangian submanifolds are disjoint then we cannot join them by length-minimizing geodesics.14 pagesSymplectic Geometry53D12; 58D10text