Variational principles for circle patterns and Koebe's theorem

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dc.creatorBobenko, Alexander I.
dc.creatorSpringborn, Boris A.
dc.date2002-03-25
dc.date2002-06-03
dc.date.accessioned2026-07-07T04:47:16Z
dc.date.available2026-07-07T04:47:16Z
dc.descriptionWe prove existence and uniqueness results for patterns of circles with prescribed intersection angles in constant curvature surfaces. Our method is based on two new functionals--one for the Euclidean and one for the hyperbolic case. We show how Colin de Verdi`ere's, Br"agger's and Rivin's functionals can be derived from ours.
dc.description33 pages, 12 figures, Appendix. Revised version. Appendix on cellular surfaces removed, references added and removed, typos corrected, a few minor changes
dc.identifierhttps://arxiv.org/abs/math/0203250
dc.identifierhttp://arxiv.org/abs/math/0203250
dc.identifierTrans. Amer. Math. Soc. 356 (2004), 659-689.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63644
dc.subjectGeometric Topology
dc.subjectComplex Variables
dc.subjectMetric Geometry
dc.subject52C26 (primary) 53A30 (secondary)
dc.titleVariational principles for circle patterns and Koebe's theorem
dc.typetext

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