2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/131471This paper studies normalized Ricci flow on a nonparabolic surface, whose scalar curvature is asymptotically -1 in an integral sense. By a method initiated by R. Hamilton, the flow is shown to converge to a metric of constant scalar curvature -1. A relative estimate of Green's function is proved as a tool.Some false statements corrected. Details of estimate and a discussion on Uniformization added. 14 pagesDifferential Geometry53C44text