Generic uniqueness of least area planes in hyperbolic space

dc.creatorCoskunuzer, Baris
dc.date2004-08-04
dc.date2009-03-15
dc.date.accessioned2026-07-07T12:52:10Z
dc.date.available2026-07-07T12:52:10Z
dc.descriptionWe study the number of solutions of the asymptotic Plateau problem in H^3. By using the analytical results in our previous paper, and some topological arguments, we show that there exists an open dense subset of C^3 Jordan curves in S^2_{infty}(H^3) such that any curve in this set bounds a unique least area plane in H^3.
dc.descriptionThis is the version published by Geometry & Topology on 27 April 2006 (V3: typesetting corrections)
dc.identifierhttps://arxiv.org/abs/math/0408066
dc.identifierhttp://arxiv.org/abs/math/0408066
dc.identifierGeom. Topol. 10 (2006) 401-412
dc.identifierdoi:10.2140/gt.2006.10.401
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223213
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject53A10, 58B15
dc.titleGeneric uniqueness of least area planes in hyperbolic space
dc.typetext

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