Holomorphic spinors and the Dirac equation

被引：2

作者：

Kirchberg, KD ^{[1
]}

机构：

[1] Humboldt Univ, Fachbereich Math, D-1086 Berlin, Germany

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 1999年 / 17卷 / 02期

关键词：

differential geometry; Dirac equation; Kahler manifolds;

D O I：

10.1023/A:1006537717534

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the first part of this paper, the closed spin Kahler manifolds of positive scaler 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 Kahler-Einstein manifold is described by eigenspinors of the square of the Dirac operator and vanishing theorems for holomorphic spinors are proved. Mathematics Subject Classifications (1991): 53C55, 53A50, 58G25, 83C60.

引用

页码：97 / 111

页数：15

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