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<p>We establish several results concerning the continuity (or weak convergence) of the complex Monge-Ampère operator on compact Hermitian manifolds. At the end of this note, we find a weak solution of the complex Monge-Ampère equation on a compact Hermitian manifold under the assumption of the existence of a smooth subsolution.</p>

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Continuity of the complex Monge-Ampère operator on compact Hermitian manifolds

  • 期刊论文

  • 发表日期：

    2026年6月22日

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  • Mau Hai Le,
  • Van Phu Nguyen,
  • Tung Trinh

摘要

We establish several results concerning the continuity (or weak convergence) of the complex Monge-Ampère operator on compact Hermitian manifolds. At the end of this note, we find a weak solution of the complex Monge-Ampère equation on a compact Hermitian manifold under the assumption of the existence of a smooth subsolution.