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I am new to GR, studying slowly. I am little bit confused between the following terms and their usage:

(a) Co & contra variant vectors - Do they help in transformation?

(b) What is a co-ordinate free system? Do co & contra variant vectors help it?

(c) What is parallel transport? Do parallel transport someway related to co-ordinate free system?

(d) A invariant system -- is someway related to the above concepts?

I am just looking for a descriptive explanation on the concepts of the above things.

Thanks,

-- Shounak

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# Terms explanation

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