2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75402We prove that a normal homogeneous space with the property that every Jacobi field along a geodesic vanishing at two points is the restriction of a Killing field along that geodesic is a globally symmetric space.This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 1, which completely invalidates the proof of Theorem 1Differential Geometry57S15; 53C35text