A Mean Value Formula and a Liouville Theorem for the Complex Monge–Ampère Equation
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.