A remark on Wu's remark on holomorphic sectional curvature

TL;DR

This paper provides a straightforward proof of Wu's theorem, which concerns the subadditivity property of Hermitian metrics with negative holomorphic sectional curvature, clarifying an important aspect of complex differential geometry.

Contribution

It offers a direct and simplified proof of Wu's theorem, enhancing understanding of Hermitian metrics with negative holomorphic sectional curvature.

Findings

Confirmed subadditivity of Hermitian metrics with negative holomorphic sectional curvature

Provided a more accessible proof of Wu's theorem

Clarified properties of holomorphic sectional curvature in complex geometry

Abstract

We give a quick direct proof of Wu's theorem on the subadditivity of Hermitian metrics of negative holomorphic sectional curvature.