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is there a loss of generality when there exists a metric tensor, since in that case

[tex]V \otimes V \otimes V^* \neq V \otimes V^* \otimes V,[/tex]

because

[tex]T^{ij}\;_{k} \neq T^{i}\;_{k}\;^{j}.[/tex]

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# PF tensor product space equation

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