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dc.contributor.authorGauthier, Paul Montpetit
dc.contributor.authorNestoridis, Vassili
dc.contributor.authorPapadopoulos, Athanase
dc.date.accessioned2016-11-17T11:46:38Z
dc.date.available2016-11-17T11:46:38Z
dc.date.issued2016-11-11
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1260
dc.descriptionResearch in Pairs 2016en_US
dc.description.abstractWe prove that for every analytic curve in the complex plane $\mathbb{C}$, Euclidean and spherical arc-lengths are global conformal parameters. We also prove that for any analytic curve in the hyperbolic plane, hyperbolic arc-length is also a global parameter. We generalize some of these results to the case of analytic curves in $\mathbb{R}^n$ and $\mathbb{C}^n$ and we discuss the situation of curves in the Riemann sphere $\mathbb{C} \cup \{\infty\}.$en_US
dc.language.isoen_USen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2016,21
dc.subjectAnalytic curveen_US
dc.subjectRegular curveen_US
dc.subjectGlobal parameteren_US
dc.subjectConformal parameteren_US
dc.subjectArc-lengthen_US
dc.subjectAnalytic extensionen_US
dc.subjectMaximal extensionen_US
dc.subjectSpherical arc-lengthen_US
dc.subjectHyperbolic arc-lengthen_US
dc.titleSpherical Arc-Length as a Global Conformal Parameter for Analytic Curves in the Riemann Sphereen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2016-21
local.scientificprogramResearch in Pairs 2016en_US
local.series.idOWP-2016-21
local.subject.msc30
local.subject.msc32
dc.identifier.urnurn:nbn:de:101:1-201611101944
dc.identifier.ppn1653760222


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