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20 April 2024
 
  » arxiv » gr-qc/9503045

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On a Harmonic Property of the Einstein Manifold Curvature
Babourova O.V. ; Frolov B.N. ;
Date 24 Mar 1995
Subject gr-qc
AffiliationDepartment of Mathematics, Moscow State Pedagogical University
AbstractThe 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.
Source arXiv, gr-qc/9503045
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