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

DOI10.1016/S0926-2245(02)00142-0zbMath1030.58023WikidataQ115338120 ScholiaQ115338120MaRDI QIDQ1405272

Christiane Tretter, Margarita Kraus

Publication date: 25 August 2003

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (1)

Variational principles and eigenvalue estimates for unbounded block operator matrices and applications

Cites Work

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• Spectral estimates for Schrödinger and Dirac-type operators on Riemannian manifolds
• The Dirac operator on nilmanifolds and collapsing circle bundles
• Perturbation theory for linear operators.
• Pin structures and the modified Dirac operator
• The Dirac operator on space forms of positive curvature
• Lower bounds for eigenvalues of the Dirac operator on \(n\)-spheres with \(SO(n)\)-symmetry
• The Einstein-Dirac equation on Riemannian spin manifolds
• 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
• Eigenvalues of the Dirac operator on fibrations over \(S^1\)

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