Kovariante Ableitung

Failed to parse (syntax error): {\displaystyle T_{rs...;l}^{ik...} = T_{rs...,l}^{ik...}&+ \Gamma _{ml}^{i}T_{rs...}^{mk...}\quad&&+\Gamma _{ml}^{i}T_{is...}^{rm...}... &\quad&\text{f }\!\!\ddot{\mathrm{u}}\!\!\text{ r jeden oberen Index} \\ & +\Gamma _{rl}^{m}T_{ms...}^{ik...}\quad&&+\Gamma _{rl}^{m}T_{rm...}^{ik...}...&&\text{f }\!\!\ddot{\mathrm{u}}\!\!\text{ r jeden unteren Index} \\ }

${A^{\lambda }}_{\mu ;\nu }=\frac{\partial {A^{\lambda }}_{\mu }}{\partial x^{\nu }}+{\mathrm{\Gamma }}_{\rho \nu }^{\lambda }{A^{\rho }}_{\mu }-{\mathrm{\Gamma }}_{\mu \nu }^{\rho }{A^{\lambda }}_{\rho }$

Eigenschaften

• erhält Tensoreingeschaft <-> Unterschied zur gewöhnlichen Ableitung