Xiaokui Yang

activity

20232025

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2 papers · 1 filter

math.DG2025

Chern number identities on compact complex surfaces and applications

Xiaokui Yang

In this paper, we establish Chern number identities on compact complex surfaces. As an application, we prove that if $(M, g)$ is a compact Riemannian four-manifold with constant sca…

math.DG2025

Conformal extremal metrics and constant scalar curvature

Xiaokui Yang, Kaijie Zhang

Let $M$ be a compact complex manifold of dimension $n \geq 2$ . We prove that for any Hermitian metric $ω$ on $M$ , there exists a unique smooth function $f$ (up to additive constants…