2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152037Let (M,J) be a minimal compact complex surface of Kaehler type. It is shown that the smooth 4-manifold M admits a Riemannian metric of positive scalar curvature iff (M,J) admits a KAEHLER metric of positive scalar curvature. This extends previous results of Witten and Kronheimer.10 pages, LaTeX, with optional \Bbb font replaceable by \bfDifferential GeometryOn the Scalar Curvature of Complex Surfacestext