2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65252The uniqueness of the AdS spactime in proved for dimension n\leq 7 or any dimension under the spin assumption.Revised version. An alternative approach is given which removes the spin assumption when dimension n\leq 7 and new references are addedDifferential GeometryMathematical Physicstext