A Liouville theorem for the complex Monge-Ampère equation on product manifolds

Hans-Joachim Hein

Let $Y$ be a closed Calabi-Yau manifold. Let $\omega$ be the Kähler form of a Ricci-flat Kähler metric on ${\mathbb{C}}^m\times Y$. We prove that if $\omega$ is uniformly bounded above and be…