Riemannscher Krümmungstensor: Unterschied zwischen den Versionen

← Zum vorherigen Versionsunterschied Zum nächsten Versionsunterschied →

Version vom 9. April 2009, 09:46 Uhr

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

@@ Zeile 3: / Zeile 3: @@
 {{\color{WildStrawberry}\beta} {\color{Orange}\mu} {\color{Red}\nu}}
   =
-{\partial _{\color{Orange}\mu}}
+\Gamma _{{\color{WildStrawberry}\beta} {\color{Orange}\mu},\color{Red}\nu }^{\color{Violet}\alpha}
-\Gamma _{{\color{WildStrawberry}\beta} {\color{Red}\nu} }^{\color{Violet}\alpha}
   -
-{\partial _{\color{Red}\nu}}
+\Gamma _{{\color{WildStrawberry}\beta} {\color{Red}\nu},{\color{Orange}\mu} }^{\color{Violet}\alpha}
-\Gamma _{{\color{WildStrawberry}\beta} {\color{Orange}\mu} }^{\color{Violet}\alpha}
   +
+ \Gamma _{{\color{WildStrawberry}\beta} {\color{Red}\nu} }^\sigma
   \Gamma _{\sigma {\color{Orange}\mu} } ^ {\color{Violet}\alpha}
- \Gamma _{{\color{WildStrawberry}\beta} {\color{Red}\nu} }^\sigma
   -
+ \Gamma _{{\color{WildStrawberry}\beta} {\color{Orange}\mu} }^\sigma
   \Gamma _{\sigma {\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 9. April 2009, 09:46 Uhr

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