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On a Harmonic Property of the Einstein Manifold Curvature

O. V. Babourova·B. N. Frolov
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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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O. V. Babourova, B. N. Frolov. 1995-03-24. On a Harmonic Property of the Einstein Manifold Curvature. https://arxiv.org/abs/gr-qc/9503045

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