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Anonymous Sun 11 Oct 12:08:44 2020 No.12218939 View Reply Original Report

Quoted By: >>12219092 >>12219127

I want to draw a transformed grid from a metric tensor.
I think I need a Jacobian matrix to draw a grid.
How can I get a Jacobian matrix from a metric tensor?

Anonymous

Anonymous Sun 11 Oct 2020 13:09:54 No.12219092 Report

Quoted By:

>>12218939
Your question doesn't make any sense. Do you want a coordinate systems where the axes are straight lines with respect to the metric? This is not possible in general.

Anonymous

Anonymous Sun 11 Oct 2020 13:26:56 No.12219127 Report

Quoted By: >>12220421

>>12218939

If you just want to cook up an illustration, it's easier to go the other way OP. Take some T and then take the metric to be dT' * dT. So your idea is basically right, you need the transpose of the Jacobian times the Jacobian.

If you are given the metric, it might be possible to find a T that fits it in this way, but it's not guaranteed.

Anonymous

Anonymous Sun 11 Oct 2020 22:17:46 No.12220421 Report

Quoted By:

>>12219127
> take the metric to be dT' * dT
thanks!

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