Metrics of positive curvature with conic singularities on the sphere

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dc.creatorEremenko, A.
dc.date2002-08-04
dc.date.accessioned2026-07-07T09:55:28Z
dc.date.available2026-07-07T09:55:28Z
dc.descriptionA simple proof is given of the necessary and sufficient condition on a triple of positive numbers A,B,C for the existence of a conformal metric of constant positive curvature on the sphere, with three conic singularities of total angles A,B,C. The same condition is necessary and sufficient for the triple A,B,C to be interior angles of a spherical triangular membrane.
dc.description9 pages, 1 figure, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0208025
dc.identifierhttp://arxiv.org/abs/math/0208025
dc.identifierProc. AMS, 132 (2004), 11, 3349--3355
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166637
dc.subjectMetric Geometry
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subject53C45,35J60,33C05
dc.titleMetrics of positive curvature with conic singularities on the sphere
dc.typetext

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