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Weyl tensor
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===Bianchi identity=== Taking traces of the usual second Bianchi identity of the Riemann tensor eventually shows that :<math>\nabla_a {C^a}_{bcd} = 2(n - 3)\nabla_{[c}S_{d]b}</math> where ''S'' is the [[Schouten tensor]]. The valence (0,3) tensor on the right-hand side is the [[Cotton tensor]], apart from the initial factor.
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