On a Harmonic Property of the Einstein Manifold Curvature

Details On a Harmonic Property of the Einstein Manifold Curvature On a Harmonic Property of the Einstein Manifold Curvature

1995-03-24

arxiv.org/abs/gr-qc/9503045v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages

Scientific paper

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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