I'm trying to work through getting the Riemann-Christoffel tensor using covariant differentiation and I don't see where two terms cancel. I have the correct result, plus these two terms:(adsbygoogle = window.adsbygoogle || []).push({});

d/dx^(sigma) *{alpha nu, tau}*A^(alpha)

and

d/dx^(nu) *{alpha sigma, tau}*A^(alpha)

Sorry, I couldn't figure out how to do this with LaTeX. The A^(alpha) is just an arbitrary contravariant vector, and the {a n, t} and {a sigma, t} are Christoffel symbols.

Somehow these two are supposed to be equal (in order to cancel). I know the Christoffel symbols are symmetric in the lower indices, but that doesn't help me much. Can anyone shed some light on why the two are the same?

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# Riemann-Christoffel tensor

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