2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226520It is shown that two strictly pseudoconvex Stein domains with real analytic boundaries have biholomorphic universal coverings provided that their boundaries are locally biholomorphically equivalent. This statement can be regarded as a higher dimensional analogue of the Riemann uniformization theorem.Complex Variables32Dxxtext