2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/147630We characteristize those Einstein four manifolds which are locally symmetric spaces of noncompact type. Namely they are four manifolds which admit solutions to the (non-Abelian) Seiberg Witten equations and satisty certain characterisitc number equality.15 pages. Some comments are rephrasedDifferential Geometrytext