Lower bounds for eigenvalues of the Dirac operator on \(n\)-spheres with \(SO(n)\)-symmetry

DOI10.1016/S0393-0440(99)00031-5zbMath0976.53051MaRDI QIDQ1971605

Margarita Kraus

Publication date: 18 December 2001

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

spectrumDirac operatoreigenvalue estimate

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Spin and Spin({}^c) geometry (53C27)

Related Items (1)

A new method for eigenvalue estimates for Dirac operators on certain manifolds with \(S^{k}\)-symmetry

Cites Work

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• An upper bound for the first eigenvalue of the Dirac operator on compact spin manifolds
• Lower eigenvalue estimates for Dirac operators
• Spectrum of the Dirac operator on complex projective space \(P_{2q- 1}({\mathbb{C}})\)
• Eigenvalue bounds for the Dirac operator
• Extrinsic bounds for eigenvalues of the Dirac operator
• Upper bounds for the first eigenvalue of the Dirac operator on surfaces
• On the spinor representation of surfaces in Euclidean \(3\)-space
• The Dirac operator on nilmanifolds and collapsing circle bundles
• Lower bounds for eigenvalues of the Dirac operator on surfaces of rotation
• Harmonic spinors
• The Dirac operator on space forms of positive curvature
• Metrics with harmonic spinors
• Zur Abhängigkeit des Dirac-operators von der Spin-Struktur
• Der erste Eigenwert des Dirac‐Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung

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