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Christoffel Symbol definition

  1. May 14, 2014 #1
    1. The problem statement, all variables and given/known data

    ¿Why [tex] \Gamma^{k}_{i j} = (1/2) g^{k p} (g_{i p ,j}+ g_{j p ,i}- g_{i j , p}) [/tex] cant be writed like [tex] \Gamma^{k}_{i j} = (1/2) g^{k p} (2 g_{i p ,j}+g_{i j , p}) [/tex]

    if i can say that the metric is symmetric?

    2. Relevant equations

    That is the relevant equation

    3. The attempt at a solution

    i dont know
     
  2. jcsd
  3. May 14, 2014 #2

    strangerep

    User Avatar
    Science Advisor

    What makes you think that ##g_{ip},_j = g_{jp},_i## ? Certainly, ##g_{ij} = g_{ji}##, but that's not what you've got here.

    Also what makes you think that ##g_{ij},_p = -g_{ji},_p##, or was that sign error just a typo?
     
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