2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99177We show that C^2 conformally compact Riemannian Einstein metrics have conformal compactifications that are smooth up to the boundary in dimension 3 and all even dimensions, and polyhomogeneous in odd dimensions greater than 3.Latex2e, 25 pages. This is the final version accepted for publication in the Journal of Differential GeometryDifferential GeometryHigh Energy Physics - Theory53C25text