I was thinking about the metric tensor. Given a metric g(adsbygoogle = window.adsbygoogle || []).push({}); _{μν}we know that it is symmetric on its two indices. If we have g_{μν,α}(the derivative of the metric with respect to x^{α}), is it also valid to consider symmetry on μ and α? i.e. is the identity g_{μν,α}= g_{αν,μ}valid?

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# I Symmetry of the metric tensor

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