On a Harmonic Property of the Einstein Manifold Curvature
classification
🌀 gr-qc
keywords
curvatureformmanifoldeinsteinharmonicannulmentbasiscondition
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The harmonicity condition of the curvature 2-form of a pseudo- Riemannian manifold is formulated on the basis of annulment of this form by the de Rham-Lichnerowicz Laplacian. The following theorem is proved: The curvature 2-form of any Einstein manifold is harmonic.
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