2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/196908We give a general survey of the solution of the Einstein constraints by the conformal method on n dimensional compact manifolds. We prove some new results about solutions with low regularity (solutions in $H_{2}$ when n=3), and solutions with unscaled sources.Article for the volume "Space time safari" in honor of Vincent MoncriefGeneral Relativity and Quantum Cosmologytext