Polygons with prescribed Gauss map in Hadamard spaces and Euclidean buildings

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We 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.
15 pages, 3 figures

Keywords

Metric Geometry, 53C20

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/73461

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412050
 http://arxiv.org/abs/math/0412050

Collections

arXiv