Riemannscher Krümmungstensor

$R_{\beta \mu \nu }^{\alpha }={\partial _{\mu }}\Gamma _{\beta \nu }^{\alpha }-{\partial _{\mu \nu }}\Gamma _{\beta \mu }^{\alpha }+\Gamma _{\sigma \mu }^{\alpha }\Gamma _{\beta \nu }^{\sigma }-\Gamma _{\sigma \nu }^{\alpha }\Gamma _{\beta \mu }^{\sigma }$