Riemannscher Krümmungstensor

${R^{\color {Violet}\alpha }}_{{\color {WildStrawberry}\beta }{\color {Orange}\mu }{\color {Red}\nu }}={\partial _{\color {Orange}\mu }}\Gamma _{{\color {WildStrawberry}\beta }{\color {Red}\nu }}^{\color {Violet}\alpha }-{\partial _{{\color {Orange}\mu }{\color {Red}\nu }}}\Gamma _{{\color {WildStrawberry}\beta }{\color {Orange}\mu }}^{\color {Violet}\alpha }+\Gamma _{\sigma {\color {Orange}\mu }}^{\color {Violet}\alpha }\Gamma _{{\color {WildStrawberry}\beta }{\color {Red}\nu }}^{\sigma }-\Gamma _{\sigma {\color {Red}\nu }}^{\color {Violet}\alpha }\Gamma _{{\color {WildStrawberry}\beta }{\color {Orange}\mu }}^{\sigma }$