A class of nonpositively curved Kahler manifolds biholomorphic to the unit ball in C^n

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106281Let (M,g) be a simply connected complete Kahler manifold with nonpositive sectional curvature. Assume that g has constant negative holomorphic sectional curvature outside a compact set. We prove that M is then biholomorphic to the unit ball in C^n, where dim M = n.4 pages. To appear in C. R. Acad. Sci. Paris (Math)Functional AnalysisComplex VariablesDifferential Geometry53C55A class of nonpositively curved Kahler manifolds biholomorphic to the unit ball in C^ntext