Holomorphic spinors and the Dirac equation

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A 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 pages

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Differential Geometry, 53C55, 53A50, 58G25, 83C60

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http://salesiana.dossiersoluciones.com/handle/123456789/76594

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9802050
 http://arxiv.org/abs/math/9802050

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arXiv