Wondering if this is valid to do, if I start with the expression(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \delta\omega^{u}_{ \singlespacing v} x^v \partial_u [/tex]

where [itex] \delta\omega [/itex] is an infinitesimal, and [itex] \partial [/itex] a space-time derivative,

is it still valid to drop and raise the u to obtain

[tex] \delta\omega_{u v} x^v \partial^u [/tex]

without involving the metric tensor?

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# Tensor indicies switch

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