hallo,

I have the following problem: Let $X$ be a $n-$dim Kähler manifold with Ricci-flat Kähler form $\omega$. There is a known fact that then there exists a holomorphic (n,0)-form $\Omega$ such that $\frac{\omega^{n}}{n!} = (-1)^{\frac{n(n-1)}{2}}(i/2)^{n} \Omega \wedge \bar{\Omega}$. And that $\Omega$ is also parallel with respect to the Levi-civita connection. Does anyone know where I can find a proof of this assertion? I would be very thankful for answers.

greetings bruno