Group actions on geodesic Ptolemy spaces

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In this paper we study geodesic Ptolemy metric spaces $X$ which allow proper and cocompact isometric actions of crystallographic or, more generally, virtual polycyclic groups. We show that $X$ is equivariantly rough isometric to a Euclidean space.
20 pages, 1 figure

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Metric Geometry, 53C20; 53C24

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http://salesiana.dossiersoluciones.com/handle/123456789/209427

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.0672
 http://arxiv.org/abs/0812.0672

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arXiv