Riemannscher Krümmungstensor: Unterschied zwischen den Versionen

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<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>
{R^{\color{Violet}\alpha}} _
{{\color{WildStrawberry}\beta} {\color{Orange}\mu} {\color{Red}\nu}}
=
{\partial {\color{Orange}\mu}}
\Gamma _{{\color{WildStrawberry}\beta} {{\color{Red}\nu} }^{\color{Violet}\alpha}
  -
{\partial _{{\color{Orange}\mu} {{\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}\nu} }^\sigma
  -
\Gamma _{\sigma {{\color{Red}\nu}}^{\color{Violet}\alpha}
\Gamma _{{\color{WildStrawberry}\beta} {\color{Orange}\mu} }^\sigma
</math>
</math>


[[Kategorie:Tensor_4._Stufe]]
[[Kategorie:Tensor_4._Stufe]]

Version vom 1. April 2009, 13:04 Uhr

Fehler beim Parsen (Syntaxfehler): {\displaystyle {R^{\color{Violet}\alpha}} _ {{\color{WildStrawberry}\beta} {\color{Orange}\mu} {\color{Red}\nu}} = {\partial {\color{Orange}\mu}} \Gamma _{{\color{WildStrawberry}\beta} {{\color{Red}\nu} }^{\color{Violet}\alpha} - {\partial _{{\color{Orange}\mu} {{\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}\nu} }^\sigma - \Gamma _{\sigma {{\color{Red}\nu}}^{\color{Violet}\alpha} \Gamma _{{\color{WildStrawberry}\beta} {\color{Orange}\mu} }^\sigma }