Injectivity Criteria for Holomorphic Curves in C<i><SUP>n</SUP></i>

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dc.contributor.authorChuaqui, M.
dc.contributor.authorDuren, P.
dc.contributor.authorOsgood, B.
dc.date.accessioned2025-01-21T00:04:03Z
dc.date.available2025-01-21T00:04:03Z
dc.date.issued2011
dc.description.abstractCombining the definition of Schwarzian derivative for conformal mappings between Riemannian manifolds given by Osgood and Stowe with that for parametrized curves in Euclidean space given by Ahlfors, we establish injectivity criteria for holomorphic curves phi : D -> C-n. The result can be considered a generalization of a classical condition for univalence of Nehari.
dc.description.funderFONDECYT
dc.fuente.origenWOS
dc.identifier.issn1558-8599
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/95490
dc.identifier.wosidWOS:000274659100009
dc.issue.numero1
dc.language.isoen
dc.pagina.final251
dc.pagina.inicio223
dc.revistaPure and applied mathematics quarterly
dc.rightsacceso restringido
dc.subjectHolomorphic mapping
dc.subjectSchwarzian derivative
dc.subjectcurvature
dc.titleInjectivity Criteria for Holomorphic Curves in C<i><SUP>n</SUP></i>
dc.typeartículo
dc.volumen7
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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