- #1

cristo

Staff Emeritus

Science Advisor

- 8,107

- 73

Show that if C

_{ij}are components of an antisymmetric tensor then [itex] C_{ij}dx^i\otimes dx^j[/itex] corresponds to the 2-form [itex]C_{ij}dx^i\wedge dx^j[/itex].

Now, I know that the wedge product is anti symmetric, and that it can be expressed in terms of the tensor product as follows: [tex] C_{ij}dx^i\wedge dx^j=C_{ij}\frac{1}{2}(dx^i\otimes dx^j-dx^j\otimes dx^i) [/tex]

However, I can't for the life of me show what is required!

Any hints would be much appreciated!!