The Einstein-Dirac equation on Riemannian spin manifolds

DOI10.1016/S0393-0440(99)00043-1zbMath0961.53023arXivmath/9905095WikidataQ115338753 ScholiaQ115338753MaRDI QIDQ1972281

Thomas Friedrich, Eui Chul Kim

Publication date: 20 May 2001

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

Full work available at URL: https://arxiv.org/abs/math/9905095

zbMATH Keywords

Einstein equationDirac equationKilling spinorSasakian spin manifold

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 (50)

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Cites Work

• Spin manifolds, Killing spinors and universality of the Hijazi inequality
• 7-dimensional compact Riemannian manifolds with Killing spinors
• Integrability conditions for Killing spinors
• Six-dimensional Riemannian manifolds with a real Killing spinor
• Einstein manifolds of dimension five with small first eigenvalue of the Dirac operator
• Spineurs, opérateurs de Dirac et variations de métriques. (Spinors, Dirac operators and variations of the metrics)
• On nearly parallel \(G_2\)-structures
• Non-existence of black hole solutions for a spherically symmetric, static Einstein-Dirac-Maxwell system
• Pin structures and the modified Dirac operator
• Real Killing spinors and holonomy
• The topology of contact Riemannian manifolds
• Dérivées de Lie des spineurs. (Lie derivatives of spinors)
• Der erste Eigenwert des Dirac‐Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
• ON SASAKIAN–EINSTEIN GEOMETRY
• Local U(2,2) symmetry in relativistic quantum mechanics
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