If $A^iB_i$ is called a contraction, what is $A^{ij}B_{ij}$ called?
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I have a tensor $A^{ijk}$ and a tensor $B_{ijk}$ , and I'd like to contract all the indices between them, resulting in the scalar $k$ : $$k = A^{ijk}B_{ijk}$$ Is there a name for this sort of "multi-contraction"? By knowing the name, I'd like to study this type of operation more. I'm not sure whether they occur in the study of differential forms, or tensor algebra, or geometric algebra, or otherwise.
reference-request tensors geometric-algebras
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asked Nov 27 '18 at 21:22
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