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[itex]g^{im}

\nabla_{\partial_j}R_{ilkm}=\nabla_{\partial_j}R_{lk}[/itex].

of cause [itex]g^{im}R_{ilkm}=R_{lk}[/itex], but I don't know how the contraction can pass through the covariant derivative?

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# How to Prove contracted Bianchi Identity

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