Riemannscher Krümmungstensor: Unterschied zwischen den Versionen

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Version vom 1. April 2009, 14:00 Uhr

${R^{\color {Violet}\alpha }}_{\color {Red}{\color {WildStrawberry}\beta }{\color {Orange}\mu }{\color {Red}{\color {Red}{\color {Red}\nu }}}}={\partial _{\color {Red}{\color {Orange}\mu }}}\Gamma _{{\color {Red}{\color {WildStrawberry}\beta }}{\color {Red}{\color {Red}{\color {Red}\nu }}}}^{\color {Violet}\alpha }-{\partial _{{\color {Orange}\mu }{\color {Red}{\color {Red}{\color {Red}\nu }}}}}\Gamma _{{\color {WildStrawberry}\beta }{\color {Orange}\mu }}^{\color {Violet}\alpha }+\Gamma _{\sigma {\color {Orange}\mu }}^{\color {Violet}\alpha }\Gamma _{{\color {WildStrawberry}\beta }{\color {Red}{\color {Red}\nu }}}^{\sigma }-\Gamma _{\sigma {\color {Red}{\color {Red}{\color {Red}\nu }}}}^{\color {Violet}\alpha }\Gamma _{{\color {WildStrawberry}\beta }{\color {Orange}\mu }}^{\sigma }$

@@ Zeile 1: / Zeile 1: @@
-<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]]

Riemannscher Krümmungstensor: Unterschied zwischen den Versionen

Version vom 1. April 2009, 14:00 Uhr

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