Group actions on geodesic Ptolemy spaces

Details Group actions on geodesic Ptolemy spaces Group actions on geodesic Ptolemy spaces

2008-12-03

arxiv.org/abs/0812.0672v1

Mathematics

Metric Geometry

20 pages, 1 figure

Scientific paper

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.

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