I haven't learnt much of advanced mathematics. It seems that we can use metric tensors to lower or raise index of christoffel symbols. But isn't christoffel symbols made of metric tensors and derivatives of metric tensors? How can we contract indices of a derivative directly with metric tensors while they are non constants.(adsbygoogle = window.adsbygoogle || []).push({});

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# Why can we use metric tensors to lower index of Christoffel symbol

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