# Group actions on geodesic Ptolemy spaces

Foertsch, T; Schroeder, Viktor (2011). Group actions on geodesic Ptolemy spaces. Transactions of the American Mathematical Society, 363(6):2891-2906.

## 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.

## 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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5 citations in Web of Science®
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30 downloads since deposited on 27 Dec 2011
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Item Type: Journal Article, refereed, original work 07 Faculty of Science > Institute of Mathematics 510 Mathematics English 7 January 2011 27 Dec 2011 10:08 05 Jan 2018 14:44 American Mathematical Society 0002-9947 Swiss National Science Foundation, grant 200021-115919 https://doi.org/10.1090/S0002-9947-2011-05121-4 http://arxiv.org/abs/0812.0672

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