Is there any relationship between tensors, as they're used in diff geo and the notion of tensor product as used in module theory? I seem to recall that tensor products were "invented" because, given a field k and U, V two vector spaces over k such that dim U=n, dim V=m, we wanted to construct a vector space with dimension nm.(adsbygoogle = window.adsbygoogle || []).push({});

But I'm not sure where tensors used the other way came from, thus my question.

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# Relationship between tensors

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