Group actions on geodesic Ptolemy spaces

Foertsch, Thomas; Schroeder, Viktor

doi:10.1090/S0002-9947-2011-05121-4

Group actions on geodesic Ptolemy spaces
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by Thomas Foertsch and Viktor Schroeder PDF

Trans. Amer. Math. Soc. 363 (2011), 2891-2906 Request permission

Abstract:

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 roughly isometric to a Euclidean space.

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