A Mean Value Formula and a Liouville Theorem for the Complex Monge–Ampère Equation
International mathematics research notices(2018)
摘要
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.
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