Holomorphic spinors and the Dirac equation

Abstract

A closed spin Kaehler 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 Kaehler-Einstein manifold each holomorphic spinor is a finite sum of eigenspinors of the square of the Dirac operator. Vanishing theorems for homomorphic spinors are proved. (orig.)SIGLEAvailable from TIB Hannover: RR 1596(290) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman