2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98306We prove the following regularity result: If M and M' are smooth generic submanifolds of C^N and C^N' respectively, where N and N' are not necessarily equal, and if M is minimal, then every C^k-CR-map from M into M^\prime which is k-nondegenerate is smooth. As an application, every CR diffeomorphism of k-nondegenerate minimal submanifolds in C^N of class C^k is smooth.AMS-LaTeX, 11 pagesComplex Variables32H02A smooth regularity theorem for nondegenerate CR-mappingstext