Solution
= Solution
Expansion of the Ricci identity gives $R^\mu{}_{\nu\alpha\beta}=\partial_\alpha\Gamma^\mu_{\beta\nu}-\partial_\beta\Gamma^\mu_{\alpha\nu}+\Gamma^\mu_{\alpha\lambda}\Gamma^\lambda_{\beta\nu}-\Gamma^\mu_{\beta\lambda}\Gamma^\lambda_{\alpha\nu}$.