Assigning indices after Hodge dual computation

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C. Arias

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Nov 19, 2025, 1:15:43 PM (3 days ago) Nov 19
to xAct Tensor Computer Algebra
Hi!

I’m working on defining Killing vectors and tensors using xTerior, and I am having trouble with one particular step.

I need to construct a 3-form

where is a 2-form.
I was able to compute the Hodge dual, but I am not sure how to assign indices to the resulting 3-form in the same way I assigned indices to that I can eventually build objects like

K^ab=f^ac ​f^b_c

Any help is very much appreciated!

Cynthia

5d tensors.nb
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