2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145154We show that if $M = X \times Y$ is the product of two complex manifolds (of positive dimensions), then $M$ does not admit any complete Kähler metric with bisectional curvature bounded between two negative constants. More generally, a locally-trivial holomorphic fibre-bundle does not admit such a metric.6 Pages. To appear in The Asian Journal of MathematicsDifferential GeometryComplex Variablestext