Univalence criteria for lifts of harmonic mappings to minimal surfaces

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dc.contributor.authorChuaqui, M.
dc.contributor.authorDuren, R.
dc.contributor.authorOsgood, B.
dc.date.accessioned2025-01-21T01:05:45Z
dc.date.available2025-01-21T01:05:45Z
dc.date.issued2007
dc.description.abstractA general criterion in terms of the Schwarzian derivative is given for global univalence of the Weierstrass-Enneper lift of a planar harmonic mapping. Results on distortion and boundary regularity are also deduced. Examples are given to show that the criterion is sharp. The analysis depends on a generalized Schwarzian defined for conformal metrics and on a Schwarzian introduced by Ahlfors for curves. Convexity plays a central role.
dc.fuente.origenWOS
dc.identifier.issn1050-6926
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/96006
dc.identifier.wosidWOS:000245341000004
dc.issue.numero1
dc.language.isoen
dc.pagina.final74
dc.pagina.inicio49
dc.revistaJournal of geometric analysis
dc.rightsacceso restringido
dc.subjectharmonic mapping
dc.subjectSchwarzian derivative
dc.subjectcurvature
dc.subjectminimal surface
dc.titleUnivalence criteria for lifts of harmonic mappings to minimal surfaces
dc.typeartículo
dc.volumen17
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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