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Display information for equation id:math.1109.213 on revision:1109

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TeX (original user input):

\begin{align}
  & {{A}^{\alpha }}_{;\mu ;\nu }-{{A}^{\alpha }}_{;\nu ;\mu }={{R}^{\alpha }}_{\beta \mu \nu }{{A}^{\beta }} \\ 
 & {{R}^{\alpha }}_{\beta \mu \nu }=\Gamma _{\beta \nu ,\mu }^{\alpha }-\Gamma _{\beta \mu ,\nu }^{\alpha }+\Gamma _{\sigma \mu }^{\alpha }\Gamma _{\beta \nu }^{\sigma }-\Gamma _{\sigma \nu }^{\alpha }\Gamma _{\beta \mu }^{\sigma } \\ 
\end{align}

TeX (checked):

{\begin{aligned}&{{A}^{\alpha }}_{;\mu ;\nu }-{{A}^{\alpha }}_{;\nu ;\mu }={{R}^{\alpha }}_{\beta \mu \nu }{{A}^{\beta }}\\&{{R}^{\alpha }}_{\beta \mu \nu }=\Gamma _{\beta \nu ,\mu }^{\alpha }-\Gamma _{\beta \mu ,\nu }^{\alpha }+\Gamma _{\sigma \mu }^{\alpha }\Gamma _{\beta \nu }^{\sigma }-\Gamma _{\sigma \nu }^{\alpha }\Gamma _{\beta \mu }^{\sigma }\\\end{aligned}}

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Aα;μ;νAα;ν;μ=RαβμνAβRαβμν=Γβν,μαΓβμ,να+ΓσμαΓβνσΓσναΓβμσ
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