Riemannscher Krümmungstensor: Difference between revisions
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<math>{R^{\color{Violet}\alpha}} _{ | <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]] | ||
Revision as of 13:04, 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 }