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I came here with a question and hope you can shed some light.

We know that Ricci tensor which is a contraction of Riemann tensor contains a subset of information as contained by Riemann tensor. In 3-D infact they contain the same information.

I was wondering is it always true that Tensor obtained by contracting a primary tensor always has a subset of information ? The way I see Tensor is something which is based on the Physics/Geometry of the problem and which stay unchanged under cooridinate transformation.

Thank You

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# Tensor Contraction

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