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Equation with Riemann curvature tensor

  1. Sep 26, 2009 #1
    Can anyone prove the following formula:
    [tex]
    R_{abf}^{\phantom{abf}e} \Gamma_{cd}^f = R_{abc}^{\phantom{abc}f} \Gamma_{fd}^e + R_{abd}^{\phantom{abd}f} \Gamma_{cf}^e
    [/tex]
    I found it in "General Relativity" by Wald (in slightly different notation).
     
  2. jcsd
  3. Sep 26, 2009 #2
    If you write it out in terms of the derivatives of metric components, you should be able to manipulate the expression until you get the indices arranged as you want.
     
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