2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136363Let $(M^n, g)$ be a complete non-compact Kähler manifold with non-negative and bounded holomorphic bisectional curvature. We prove that $M$ is holomorphically covered by a pseudoconvex domain in $\C^n$ which is homeomorphic to $\R^{2n}$, provided $(M^n, g)$ has uniform linear average quadratic curvature decay.Theorem 1.1 has been improved, a new Theorem (Theorem 6.1) has been addedDifferential GeometryAnalysis of PDEs53C55, 35K90text