Let me see if I understand this correctly. Using the metric to raise an index converts a vector into a one form and lowering the index converts a one form into a vector. The contraction on the indices is the dot product between the two. Am I correct so far?(adsbygoogle = window.adsbygoogle || []).push({});

If so, here is my question. What is the physical significance to these operations? Why is it done, or more precisely, when is it necessary to do so? I'm trying to understand the logic behind the operation. As always, TIA for your insight.

Regards, Kevin

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# I Using the metric to raise and lower indices

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