Title: A mean value formula and a Liouville theorem for the complex Monge-Ampère equation,
Abstract: In this paper, we prove a mean value formula for bounded subharmonic
Hermitian matrix valued function on a complete Riemannian manifold with
nonnegative Ricci curvature. As its application, we obtain a Liouville type
theorem for the complex Monge-Ampère equation on product manifolds.