> My odd-order tensor rule works in this way:
> A_{ijk} = A_{ikj}, or, A_{i(jk)} = A_{i(kj)}.
>
> Which is the same as the rank-two (++even-order) tensor rule if we
> blissfully ignore the first index.

Is this a widely used notion in physics? Where is it used?

Note that I am not opposed if you wanted to implement this, I just want to 
make sure we have the semantics right.


> The real problem, I guess, is that I can not multiple a SymmetricTensor
> with a Tensor (apparently). Otherwise I may be happy enough to do:
> SymmetricTensor<1,dim> * Tensor<3,dim>.

Did you mean SymmetricTensor<**2**,dim> * Tensor<3,dim>? If so, would the 
product be a contraction over indices, or an outer product?

Best
 W.

-------------------------------------------------------------------------
Wolfgang Bangerth                email:            [email protected]
                                 www: http://www.math.tamu.edu/~bangerth/

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