On a Harmonic Property of the Einstein Manifold Curvature
arXiv:gr-qc/9503045
Abstract
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.
4 pages