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Originally Posted by sanctus
The usual definition I saw for covariant and contravariant vectors, tensors etc. is the way they transform. But is there anything physical to it, I can't see beyond the math there but I'm sure there must be something very basic?
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The contra varient tensors live in the actual vector space, while covarient tensors live in a dual space. (which is why you can combine co and contra varient tensors to get a scalar).
If your space is equipped with an inner product, then you can connect the two spaces via the metric.
-Will
