Christoffelsymbole

$\Gamma _{{\color {Red}\mu }{\color {Violet}\nu }}^{\color {Orange}\alpha }={\frac {1}{2}}{{g}^{{\color {Orange}\alpha }\sigma }}\left({{g}_{\sigma {\color {Violet}\mu },{\color {Red}\nu }}}+{{g}_{\sigma {\color {Red}\nu },{\color {Violet}\mu }}}-{{g}_{{\color {Red}\mu }{\color {Violet}\nu },\sigma }}\right)$