Ricci Tensor

$$R_{\alpha \beta }=\frac{d{\Gamma }_{\alpha \beta }^{\gamma }}{d{x}^{\gamma }}-\frac{d{\Gamma }_{\alpha \gamma }^{\gamma }}{d{x}^{\beta }}+{\Gamma }_{\alpha \beta }^{\gamma }{\Gamma }_{\gamma \delta }^{\delta }-{\Gamma }_{\alpha \delta }^{\gamma }{\Gamma }_{\beta \gamma }^{\delta }$$