$\nabla$ is Riemann connection and $R_{ij}=g^{kl}R_{ikjl}$.
How to show $\nabla_a\nabla_c R_{ad}-\nabla_c \nabla _a R_{ad}=-R_{cade} R_{ae}-R_{ce} R _{de}$ ?
Or generate commutator of generate tensor ?
2026-03-31 06:33:31.1774938811
How to show $\nabla_a\nabla_c R_{ad}-\nabla_c \nabla _a R_{ad}=-R_{cade} R_{ae}-R_{ce} R _{de}$?
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