Transformation of the affine connection

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ehrenfest
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Homework Statement


Can someone explain what they mean at the bottom of the page "by swapping derivatives with respect to a and x' " and in general how they arrived at equation 3.17?


Homework Equations





The Attempt at a Solution

 

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ehrenfest said:

Homework Statement


Can someone explain what they mean at the bottom of the page "by swapping derivatives with respect to a and x' " and in general how they arrived at equation 3.17?


Homework Equations





The Attempt at a Solution


I have to admit that I am a bit puzzled by this. I don't see how a minus sign may be generated even if one relabels the dummy indices, use the chain rules to go from x to c', etc. I must be missing something. I hope someone else can jump in.