Eigenvalue estimates for the Dirac-Schröder operators

DOI10.1016/S0393-0440(00)00051-6zbMath0984.53021arXivmath/0101111MaRDI QIDQ5934154

Bertrand Morel

Publication date: 2 July 2001

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

Full work available at URL: https://arxiv.org/abs/math/0101111

zbMATH Keywords

Dirac-Schrödinger operatoreigenvalue estimateequality discussion

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Applications of global differential geometry to the sciences (53C80) Spin and Spin({}^c) geometry (53C27) Global submanifolds (53C40)

Related Items (14)

ON EIGENVALUE ESTIMATES FOR THE SUBMANIFOLD DIRAC OPERATOR ⋮ Lower bounds for the eigenvalue estimates of the submanifold Dirac operator ⋮ Une nouvelle estimation extrinsèque du spectre de l'opérateur de Dirac.. (A new extrinsic estimate for the spectrum of the Dirac operator) ⋮ Remarques sur le spectre de l'opérateur de Dirac. (Remarks on the spectrum of the Dirac operator) ⋮ The Dirac-Witten operator on pseudo-Riemannian manifolds ⋮ THE ENERGY-MOMENTUM TENSOR ON Spin^c MANIFOLDS ⋮ Isometric immersions of hypersurfaces in 4-dimensional manifolds via spinors ⋮ Spinorial characterizations of surfaces into three-dimensional homogeneous manifolds ⋮ Dirac operators on Lagrangian submanifolds ⋮ The Hijazi inequality on manifolds with boundary ⋮ Lower bounds for the eigenvalues of the spin\(^{c}\) Dirac-Witten operator ⋮ Some estimates over spacelike spin hypersurfaces of Lorentzian manifold ⋮ Lower bounds for eigenvalues of the Dirac-Witten operator ⋮ Dirac operators on the fuzzy AdS2 with the spins $\frac{1}{2}$12 and 1

Cites Work

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• The Einstein-Dirac equation on Riemannian spin manifolds
• A spinorial approach to Riemannian and conformal geometry
• Metrics with harmonic spinors
• Some remarks on the Hijazi inequality and generalizations of the Killing equation for spinors
• Lower bounds for the eigenvalues of the Dirac operator. I: The hypersurface Dirac operator

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