Holomorphic spinors and the Dirac equation
Differential Geometry
2007-05-23 v1
Abstract
A closed spin K\"ahler 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 K\"ahler-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.
Keywords
Cite
@article{arxiv.math/9802050,
title = {Holomorphic spinors and the Dirac equation},
author = {Klaus-Dieter Kirchberg},
journal= {arXiv preprint arXiv:math/9802050},
year = {2007}
}
Comments
Latex2.09, 14 pages