On a Harmonic Property of the Einstein Manifold Curvature
General Relativity and Quantum Cosmology
2007-05-23 v1
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.
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Cite
@article{arxiv.gr-qc/9503045,
title = {On a Harmonic Property of the Einstein Manifold Curvature},
author = {O. V. Babourova and B. N. Frolov},
journal= {arXiv preprint arXiv:gr-qc/9503045},
year = {2007}
}
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4 pages