Now, I am reading Carroll's http://arxiv.org/abs/gr-qc/9712019. On a page 88 he defines basic vectors, which are orthonormal (3.114) and basic vectors given by gradients of coordinate functions.(adsbygoogle = window.adsbygoogle || []).push({});

Are these later basis vectors not obviously orthonormal?

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# Orhogonal base in general relativity

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