A smooth regularity theorem for nondegenerate CR-mappings

dc.creatorLamel, Bernhard
dc.date2000-12-03
dc.date.accessioned2026-07-07T06:30:18Z
dc.date.available2026-07-07T06:30:18Z
dc.descriptionWe 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.
dc.descriptionAMS-LaTeX, 11 pages
dc.identifierhttps://arxiv.org/abs/math/0012010
dc.identifierhttp://arxiv.org/abs/math/0012010
dc.identifierMonatsh. Math. 142 (2004), no. 4, 315-326
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98306
dc.subjectComplex Variables
dc.subject32H02
dc.titleA smooth regularity theorem for nondegenerate CR-mappings
dc.typetext

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