In the formula for Christoffel symbols:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]\Gamma[/itex]^{m}_{ij}= [itex]\frac{1}{2}[/itex]g^{mk}[(∂g_{ki}/∂x^{j}) + (∂g_{jk}/∂x^{i}) - (∂g_{ij}/∂x^{k})

you do sum over k right?

I know this probably seems like a rather "noob-like" question and I know about Einstein summation convention. I am just asking because with previous Christoffel symbols I derived, they were in simple coordinate systems such as spherical and cylindrical, so I was just able to set k = m due to the fact that the metric tensors only had non-zero diagonal components.

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# I just want to make sure of this. Someone please verify this.

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