Let r[itex]_{\mu}[/itex] be a tensor in coordinates x[itex]^{c}[/itex] and R[itex]_{b}[/itex] be a tensor in coordinates X[itex]^{c}[/itex].(adsbygoogle = window.adsbygoogle || []).push({});

Then let r[itex]_{\mu}[/itex] = 0.

Then {[itex]\partial[/itex]X[itex]^{\nu}[/itex]/[itex]\partial[/itex]x[itex]^{\mu}[/itex]}R[itex]_{\nu}[/itex] = 0.

I read in a book that one can divide both sides of the last equation by the partial derivative to get R[itex]_{\nu}[/itex] = 0.

I do not understand how this can be done since the partial derivative is summed over together with the R[itex]_{\nu}[/itex].

Can somebody help me!

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# Difficulty in learning tensors

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