2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70386We prove that the Bergman and the Teichmuller metrics are equivalent on Teichmuller spaces.A serious mistake in the previous manuscript was correctedComplex VariablesDifferential Geometry32F45; 30F60Equivalence of the Bergman and Teichmuller metrics on Teichmuller spacestext