2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70824In this paper, by generalizing the concept of balanced metrics, we shall show that Donaldson's asymptotic approximation of balanced metrics for constant scalar curvature cases can be generalized to extremal Kaehler cases.to appear in Osaka J. Math. 41(2004)Differential GeometryAlgebraic Geometry32Q15(Primary), 32Q20, 14L24(Secondary)text