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However the indices chapter has no mention regarding "curved" and "flat".
Are these just names or is there more to it? The Fierz transformation problem
has something like

{\mu,\nu,\rho}::Indices(curved, position=fixed).
{m,n,p,q,r,s,t,u,v}::Indices(flat, position=independent).

I don't understand the function of curved and flat

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1 Answer

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Those are just names; the full form of that first property is

 {\mu,\nu,\rho}::Indices(name=curved, position=fixed).
answered by (39.3k points)