Riemannscher Krümmungstensor: Difference between revisions
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\Gamma _{{\color{WildStrawberry}\beta} {{\color{Red}\nu} }^{\color{Violet}\alpha} | \Gamma _{{\color{WildStrawberry}\beta} {{\color{Red}\nu} }^{\color{Violet}\alpha} | ||
- | - | ||
{\partial _{{\color{Orange}\mu} | {\partial _{{\color{Orange}\mu} {\color{Red}\nu}}} | ||
\Gamma _{{\color{WildStrawberry}\beta} {\color{Orange}\mu} }^{\color{Violet}\alpha} | \Gamma _{{\color{WildStrawberry}\beta} {\color{Orange}\mu} }^{\color{Violet}\alpha} | ||
+ | + | ||
\Gamma _{\sigma {\color{Orange}\mu} }^{\color{Violet}\alpha} | \Gamma _{\sigma {\color{Orange}\mu} }^{\color{Violet}\alpha} | ||
\Gamma _{{\color{WildStrawberry}\beta} | \Gamma _{{\color{WildStrawberry}\beta} {\color{Red}\nu} }^\sigma | ||
- | - | ||
\Gamma _{\sigma {{\color{Red}\nu}}^{\color{Violet}\alpha} | \Gamma _{\sigma {{\color{Red}\nu}}^{\color{Violet}\alpha} | ||
Revision as of 13:07, 1 April 2009
Failed to parse (syntax error): {\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 }