How to Prove the Riemann Curvature Tensor Equation?

[Black Integra]

Please, anyone tell me how to proof this equation:

${R^\rho}_{\sigma\mu\nu} = \partial_\mu\Gamma^\rho_{\nu\sigma}<br /> - \partial_\nu\Gamma^\rho_{\mu\sigma}<br /> + \Gamma^\rho_{\mu\lambda}\Gamma^\lambda_{\nu\sigma}<br /> - \Gamma^\rho_{\nu\lambda}\Gamma^\lambda_{\mu\sigma}$

Given a definition of parallel transport here :

$dV^{m}=-\Gamma^{m}_{np}V^{n}dx^{p}$

 

[arkajad]

You need also the definition of the Riemann curvature tensor.