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I am a new(ish) student of general relativity. I am currently reading 'Relativitiy DeMystified'

However this guys explanation of one forms is completely mystifying to me.

He says that basis vectors

[tex] e_a = ∂_a = {\frac{∂a}{∂X^a}} [/tex]

And then says that this type of basis is called a coordinate basis, and that is allows us to 'think of a vector as an operator, one that maps a function into a new function

Then

[tex] Vf = (V^a e_a) = V^a ∂_a f [/tex]

The vector V can be represented by covariant components V_a and this vector is called a 'one form'

I just did not get that. Can anyone explain in really simple terms what a one form is?

Thanks

Peter

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# One Forms

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