Lower eigenvalue estimates of a Dirac-type operator involving electromagnetic field

DOI10.1016/j.geomphys.2013.03.030zbMath1282.83045OpenAlexW1981439116MaRDI QIDQ390866

Xu Xu, Huabin Ge

Publication date: 9 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2013.03.030

zbMATH Keywords

eigenvalueDirac operatorelectromagnetic fieldLorentzian manifoldEinstein-Maxwell spin connection

Mathematics Subject Classification ID

Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Electromagnetic theory (general) (78A25) Einstein-Maxwell equations (83C22)

Related Items (1)

On Dirac operators on Lie algebroids

Cites Work

• The Dirac-Witten operator on pseudo-Riemannian manifolds
• On Witten's proof of the positive energy theorem
• Optimal eigenvalue estimate for the Dirac-Witten operator on bounded domains with smooth boundary
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• The energy and the linear momentum of space-times in general relativity
• The Dirac-Witten operator on spacelike hypersurfaces
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• Der erste Eigenwert des Dirac‐Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
• Positive mass conjecture for five-dimensional Lorentzian manifolds
• Boundary value problems for Dirac-type equations
• Positive mass theorem for hypersurface in 5-dimensional Lorentzian manifolds
• Lower bounds for the eigenvalues of the Dirac operator. I: The hypersurface Dirac operator

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