2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150049Unstable holomorphic bundles can be described algebraically by Harder-Narasimhan filtrations. In this note we show how such filtrations correspond to the existence of special metrics defined by Hermitian-Einstein inequalities.AMSTeX v2.1, to appear in Int.J.MathAlgebraic GeometryHermitian-Einstein Inequalities and Harder-Narasimhan Filtrationtext