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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Group actions on geodesic Ptolemy spaces


Authors: Thomas Foertsch and Viktor Schroeder
Journal: Trans. Amer. Math. Soc. 363 (2011), 2891-2906
MSC (2010): Primary 51F99, 53C23
Published electronically: January 7, 2011
MathSciNet review: 2775791
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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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Additional Information

Thomas Foertsch
Affiliation: Mathematisches Institut, Universität Bonn, Beringstrasse 1, D-53115 Bonn, Germany
Email: foertsch@math.uni-bonn.de

Viktor Schroeder
Affiliation: Institut für Mathematik, Universität Zürich, Winterthurer Strasse 190, CH-8057 Zürich, Switzerland
Email: vschroed@math.unizh.ch

DOI: http://dx.doi.org/10.1090/S0002-9947-2011-05121-4
PII: S 0002-9947(2011)05121-4
Received by editor(s): December 16, 2008
Published electronically: January 7, 2011
Additional Notes: Both authors were supported by the Swiss National Science Foundation, grant 200021-115919
Article copyright: © Copyright 2011 American Mathematical Society