Kovariante Ableitung: Unterschied zwischen den Versionen
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Die Seite wurde neu angelegt: <math>{A^\lambda }_{\mu ;\nu } = \frac{{\partial {A^\lambda }_\mu }}{{\partial {x^\nu }}} + \Gamma _{\rho \nu }^\lambda {A^\rho }_\mu - \Gamma _{\mu \nu }^\rho {A^\lam... |
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<math>{A^\lambda }_{\mu ;\nu } = \frac{{\partial {A^\lambda }_\mu }}{{\partial {x^\nu }}} + \Gamma _{\rho \nu }^\lambda {A^\rho }_\mu - \Gamma _{\mu \nu }^\rho {A^\lambda }_\rho | <math> | ||
{A^{\color{Violet}\lambda }}_{{\color{Orange}\mu};{\color{Red}\nu} } | |||
= | |||
\frac{{\partial {A^{\color{Violet}\lambda }}_{\color{Orange}\mu}}} | |||
{{\partial {x^{\color{Red}\nu} }}} | |||
+ | |||
\Gamma _{\rho {\color{Red}\nu} }^{\color{Violet}\lambda } | |||
{A^\rho }_{\color{Orange}\mu} | |||
- | |||
\Gamma _{{\color{Orange}\mu}{\color{Red}\nu} }^\rho | |||
{A^{\color{Violet}\lambda }}_\rho | |||
</math> | </math> | ||
[[Kategorie:Tensor]] | |||