The point spectrum of the Dirac operator on noncompact symmetric spaces

DOI10.1090/S0002-9939-01-06158-5zbMath0995.58005arXivmath/9903177OpenAlexW3105164510MaRDI QIDQ2759045

Uwe Semmelmann, Sebastian Goette

Publication date: 10 December 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9903177

zbMATH Keywords

Dirac operatorpoint spectrumsymmetric space of noncompact type

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Differential geometry of symmetric spaces (53C35) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items

The differential form spectrum of quaternionic hyperbolic spaces ⋮ The Dirac equation on metrics of Eguchi-Hanson type II with negative constant scalar curvature ⋮ The decomposition of the spinor bundle of Grassmann manifolds ⋮ The continuous spectrum of the Dirac operator on noncompact Riemannian symmetric spaces of rank one ⋮ Harmonic analysis for spinor fields in complex hyperbolic spaces

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• The Spectrum of the Dirac Operator on the Hyperbolic Space

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