Riemannscher Krümmungstensor: Difference between revisions

Revision as of 14:00, 1 April 2009

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-<math>{R^{\color{OrangeRed}\alpha}} _{ \color{Red}\beta \mu \nu } = {\partial _{\color{Red}\mu} }\Gamma _{{\color{Red}\beta} \nu }^\alpha  - {\partial _{\mu \nu }}\Gamma _{\beta \mu }^\alpha  + \Gamma _{\sigma \mu }^\alpha \Gamma _{\beta \nu }^\sigma  - \Gamma _{\sigma \nu }^\alpha \Gamma _{\beta \mu }^\sigma
+<math>{R^{\color{Violet}\alpha}} _{ \color{Red}{\color{WildStrawberry}\beta} {\color{Orange}\mu} {\color{Red}{\color{Red}{\color{Red}\nu}}} } = {\partial _{\color{Red}{\color{Orange}\mu}} }\Gamma _{{\color{Red}{\color{WildStrawberry}\beta}} {\color{Red}{\color{Red}{\color{Red}\nu}}} }^{\color{Violet}\alpha}  - {\partial _{{\color{Orange}\mu} {\color{Red}{\color{Red}{\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}{\color{Red}\nu}} }^\sigma  - \Gamma _{\sigma {\color{Red}{\color{Red}{\color{Red}\nu}}} }^{\color{Violet}\alpha} \Gamma _{{\color{WildStrawberry}\beta} {\color{Orange}\mu} }^\sigma
 </math>
 [[Kategorie:Tensor_4._Stufe]]