Holomorphic Spinors and the Dirac Equation

被引:0
|
作者
K.-D. Kirchberg
机构
[1] Humboldt-Universität zu Berlin,Fachbereich Mathematik
来源
Annals of Global Analysis and Geometry | 1999年 / 17卷
关键词
differential geometry; Dirac equation; Kähler manifolds;
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学科分类号
摘要
In the first part of this paper, the closed spin Kähler manifolds of positive scalar curvature with smallest possible first eigenvalue of the Dirac operator, are characterized by holomorphic spinors. In the second part, the space of holomorphic spinors on a Kähler–Einstein manifold is described by eigenspinors of the square of the Dirac operator and vanishing theorems for holomorphic spinors are proved.
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页码:97 / 111
页数:14
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