Second Bianchi identity
= Second Bianchi identity
For the <Levi-Civita connection>, the cyclic covariant derivative of curvature vanishes: $\nabla_{[e}R^a{}_{|b|cd]}=0$. Contracting this identity gives the <contracted Bianchi identity>.
= Second Bianchi identity
For the <Levi-Civita connection>, the cyclic covariant derivative of curvature vanishes: $\nabla_{[e}R^a{}_{|b|cd]}=0$. Contracting this identity gives the <contracted Bianchi identity>.