2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56124By analysing supersymmetry transformations we derive new BPS equations for the D=11 fivebrane propagating in flat space that involve the world-volume three-form. The equations generalise those of 2,3,4 and 5 dimensional special Lagrangian submanifolds and are relevant for describing membranes ending on these submanifolds.Latex, 14 pages. Minor corrections. Version to be published in Adv. Theor. Math. PhysHigh Energy Physics - Theorytext