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arXiv · 1709.05754

A mean value formula and a Liouville theorem for the complex Monge-Amp\`ere equation

Chao Li·Jiayu Li·Xi Zhang
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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-Amp\`ere equation on product manifolds.

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Chao Li, Jiayu Li, Xi Zhang. 2017-09-18. A mean value formula and a Liouville theorem for the complex Monge-Amp\`ere equation. https://arxiv.org/abs/1709.05754

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