2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162506This paper constructs a class of complete Kähler metrics of positive holomorphic sectional curvature on ${\bf C}^n$ and finds that the constructed metrics satisfy the following properties: As the geodesic distance $ρ\to\infty,$ the volume of geodesic balls grows like $O(ρ^{\frac{2(β+1)n}{β+2}})$ and the Riemannian scalar curvature decays like $O(ρ^{-\frac{2(β+1)}{β+2}}),$ where $β\geq 0.$Metric GeometryDifferential Geometry53C21text