Foertsch, T; Schroeder, Viktor (2011). Group actions on geodesic Ptolemy spaces. Transactions of the American Mathematical Society, 363(6):2891-2906.
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.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics
Physical Sciences > Applied Mathematics |
| Language: | English |
| Date: | 7 January 2011 |
| Deposited On: | 27 Dec 2011 10:08 |
| Last Modified: | 23 Jan 2022 19:57 |
| Publisher: | American Mathematical Society |
| ISSN: | 0002-9947 |
| Funders: | Swiss National Science Foundation, grant 200021-115919 |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1090/S0002-9947-2011-05121-4 |
| Related URLs: | http://arxiv.org/abs/0812.0672 |
| Project Information: |
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Foertsch, T