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Display information for equation id:math.387.0 on revision:387

* Page found: Riemannscher Krümmungstensor (eq math.387.0)

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Hash: 20e1c4c8b78cc81ae6ef4d327e1502d1

TeX (original user input):

{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

TeX (checked):

{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 }

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{R^{α}}_{β μ ν} = \partial_{μ} Γ_{β ν}^{α} - \partial_{μ ν} Γ_{β μ}^{α} + Γ_{σ μ}^{α} Γ_{β ν}^{σ} - Γ_{σ ν}^{α} Γ_{β μ}^{σ}

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