teddd
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Homework Statement
Hello guys, hope you'll help me out with this!
I'm asked to calculate g^{\alpha\beta}g^{\sigma\rho}(g_{\alpha\sigma}g_{\beta\rho}-g_{\alpha\rho}g_{\beta\sigma})
where g is the metric tensor on a n-dimensional manifold but I can't get to the right result, i keep on getting zero! (i know that's wrong although i don't know the exact solution -sorry- but it should depend on the dimension of the manifold)
Homework Equations
none
The Attempt at a Solution
Well, i contracted firs with respect to g^{\sigma\rho} and i end up with g^{\alpha\beta}(g_{alpha\beta}+g_{alpha\beta}-g_{alpha\beta}-g_{alpha\beta})which obviously vanish.
I must be missing something!