- #1

toqp

- 10

- 0

## Homework Statement

Calculate the contravariant components of the differential 1-form

[tex]\omega|_x = x^3 dx^1 - (x^2)^2 dx^3[/tex]

that is raise it into [tex]\omega ^\#|_x[/tex]

[tex]\eta ^{\mu\nu}(x)=diag(1,-1,-1,-1)[/tex]

## The Attempt at a Solution

I'm at lost here. I don't really understand how these differential forms work.

Can I just transfer the 1-form into an ordinary covector

[tex]\omega | _\nu=(0,x^3,0,-(x^2)^2)[/tex]

and then raise it using

[tex]\eta ^{\mu\nu}\omega _\nu[/tex]?