Christoffel symbols
I am learning about christoffel symbols and there is a pretty standard representation of christoffel symbols as a linear combination of products of the metric tensor and the metric tensors derivative. However when this is derived it is always done in a hoakey manner. Something along the lines of .... do these permutations add this subtract that and walllaaa. I am trying to make a more physically intuitive proof based off the covariant derivative of the metric tensor being equal to zero. Has anyone seen this proof somewhere i havent got it to work out and i am looking go help.

Re: Christoffel symbols
Check out chapter 3 of Wald's GR book.

Re: Christoffel symbols
I think the best place to read about connections is "Riemannian manifolds: an introduction to curvature", by John Lee. But I don't remember how he did this particular thing.

Re: Christoffel symbols
The ordinary derivative of a tensor is NOT a tensor. In order to make it one, the "covariant derivative", you have to subtract off the Christoffel symbols or, to put it another way, the Chrisoffel symbols are the covariant derivative minus the ordinary derivative.

Re: Christoffel symbols
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