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Group actions on geodesic Ptolemy spaces


Foertsch, T; Schroeder, V (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.

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 indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:7 January 2011
Deposited On:27 Dec 2011 10:08
Last Modified:05 Apr 2016 15:17
Publisher:American Mathematical Society
ISSN:0002-9947
Funders:Swiss National Science Foundation, grant 200021-115919
Publisher DOI:https://doi.org/10.1090/S0002-9947-2011-05121-4
Related URLs:http://arxiv.org/abs/0812.0672
Permanent URL: https://doi.org/10.5167/uzh-53598

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