2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76594A closed spin Kähler manifold of positive scalar curvature with smallest possible first eigenvalue of the Dirac operator is characterized by holomorphic spinors. It is shown that on any spin Kähler-Einstein manifold each holomorphic spinor is a finite sum of eigenspinors of the square of the Dirac operator. Vanishing theorems for holomorphic spinors are proved.Latex2.09, 14 pagesDifferential Geometry53C55, 53A50, 58G25, 83C60text