2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/118129We show that the almost complex structure underlying a non-Kahler, nearly Kahler 6-manifold (in particular, the standard almost complex structure of S^6) cannot be compatible with any symplectic form, even locally.6 pages. to appear in CRAS. typos and quotations correctedDifferential Geometry53B35Strictly nearly Kahler 6-manifolds are not compatible with symplectic formstext