Hi,

I had a question about the command eliminate metric. I have a metric which depends upon the coordinates and I declared the indices position to be fixed and therefore the raising and lowering are carried out using the metric.

In a part of expression of mine which looks like

$$ g^{a b}\partial_{c} g_{b d}$$

When I am trying to use the command "eliminate*metric" to the above expression it is giving
$$ \partial_{c} g^{a}{}\*{d}$$

which is not true because since the metric is coordinate dependant one cannot pull the metric inside the partial derivative. How can I put a rule such that I can avoid such raising and lowering while keeping the other raising and lowering indices outside the partial derivatives allowed.