Univalence Criteria for Lifts of Harmonic Mappings to Minimal Surfaces

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dc.creatorChuaqui, M.
dc.creatorDuren, P.
dc.creatorOsgood, B.
dc.date2006-07-03
dc.date.accessioned2026-07-07T07:17:57Z
dc.date.available2026-07-07T07:17:57Z
dc.descriptionA 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.identifierhttps://arxiv.org/abs/math/0607063
dc.identifierhttp://arxiv.org/abs/math/0607063
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114130
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subject30C99 ; 31A05; 53A10
dc.titleUnivalence Criteria for Lifts of Harmonic Mappings to Minimal Surfaces
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