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[tex]R^{ij} = c(e^i \wedge e^j)[/tex]

as my curvature 2-form, (and c represents "constant" curvature). I would like to contract to form the Ricci 1-forms, [itex]P_a[/itex], which in turn, would allow me to write out the Ricci tensor as

[tex]\mbox{Ric} = P_a \otimes e^a[/tex]

and eventually, the Einstein tensor.

My question is, how would I go about contracting my 2-form? I think it is fairly easy and Im just missing something. I mean there is a big difference between saying that [itex]R^i{}_i[/itex] is the Ricci 1-form because I contracted the 2-form, [itex]R_{ij}[/itex] and writing down exactly what just happened.

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# Contracting my 2-form?

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