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<p>For any Hermitian holomorphic vector bundle with Nakano positive curvature tensor, Demailly introduced a Monge-Ampère type equation. When the rank of the bundle is 1, it becomes the usual Monge-Ampère equation. In this paper, we solve this equation in the conformal class of a Nakano positive Hermitian metric.</p>

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Monge-Ampère Type Equation for the Nakano Positive Curvature Tensor of Holomorphic Vector Bundles

  • 期刊论文

  • 发表日期：

    2026年1月6日

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  • Changpeng Pan

摘要

For any Hermitian holomorphic vector bundle with Nakano positive curvature tensor, Demailly introduced a Monge-Ampère type equation. When the rank of the bundle is 1, it becomes the usual Monge-Ampère equation. In this paper, we solve this equation in the conformal class of a Nakano positive Hermitian metric.