Some extensions of the Einstein-Dirac equation

DOI10.1016/j.geomphys.2006.01.008zbMath1110.53033arXivmath/0603676OpenAlexW2017353676MaRDI QIDQ857410

Eui Chul Kim

Publication date: 14 December 2006

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

Full work available at URL: https://arxiv.org/abs/math/0603676

zbMATH Keywords

Einstein-Dirac functionalweak Killing spinorsweak parallel spinors

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Spin and Spin({}^c) geometry (53C27)

Related Items (1)

Manifolds with vectorial torsion

Cites Work

• Spineurs, opérateurs de Dirac et variations de métriques. (Spinors, Dirac operators and variations of the metrics)
• Parallel spinors and parallel forms
• Solutions of the Einstein-Dirac equation on Riemannian 3-manifolds with constant scalar curvature
• A local existence theorem for the Einstein--Dirac equation.
• The Einstein-Dirac equation on Riemannian spin manifolds
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