Polygons with prescribed Gauss map in Hadamard spaces and Euclidean buildings

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dc.creatorBalser, Andreas
dc.date2004-12-02
dc.date.accessioned2026-07-07T05:14:54Z
dc.date.available2026-07-07T05:14:54Z
dc.descriptionWe show that given a stable weighted configuration on the asymptotic boundary of a locally compact Hadamard space, there is a polygon with Gauss map prescribed by the given weighted configuration if the configuration is stable. Moreover, the same result holds for semistable configurations on arbitrary Euclidean buildings. We also examine how rays project to closed convex subsets of Hadamard spaces.
dc.description15 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0412050
dc.identifierhttp://arxiv.org/abs/math/0412050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73461
dc.subjectMetric Geometry
dc.subject53C20
dc.titlePolygons with prescribed Gauss map in Hadamard spaces and Euclidean buildings
dc.typetext

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