Calcul tensoriel/Notions élémentaires/Symbole de Christoffel/Changement de coordonnées

${\left[{\mathrm{\Gamma }}_a\right]}_{kl}^i={\left[{\mathrm{\Gamma }}_b\right]}_{np}^m\frac{\partial {\left[x_a\right]}^i}{\partial {\left[x_b\right]}^m}\frac{\partial {\left[x_b\right]}^n}{\partial {\left[x_a\right]}^k}\frac{\partial {\left[x_b\right]}^p}{\partial {\left[x_a\right]}^l}+\frac{{\partial }^2{\left[x_b\right]}^m}{\partial {\left[x_a\right]}^k\partial {\left[x_a\right]}^l}\frac{\partial {\left[x_a\right]}^i}{\partial {\left[x_b\right]}^m}$