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Sfb 288 Differential Geometry and Quantum Physics |
Abstract for Sfb Preprint No. 319
Spectral properties of the Dirac operator on pseudo-Riemannian space forms T. Kunstmann
This paper is devoted to spectral properties of the Dirac operator on the pseudo-Riemannian space forms Spin(p,q)/Spin(p,q-1). The full spectrum on the K-isotypic components, where K=Spin(p)Spin(q) is maximal compact in Spin(p,q), is determined. Furthermore some properties of the Dirac operator on the whole space of square integrable spinors are proved.
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