Group actions on geodesic Ptolemy spaces-Reference-Cited by-同舟云学术

Group actions on geodesic Ptolemy spaces

Published:2011-01-07 Issue:6 Volume:363 Page:2891-2906
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Foertsch Thomas,Schroeder Viktor

Abstract

In this paper we study geodesic Ptolemy metric spaces X X which allow proper and cocompact isometric actions of crystallographic or, more generally, virtual polycyclic groups. We show that X X is equivariantly roughly isometric to a Euclidean space.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2011-363-06/S0002-9947-2011-05121-4/S0002-9947-2011-05121-4.pdf

Reference14 articles.

1. Sur le birapport au bord des 𝐶𝐴𝑇(-1)-espaces;Bourdon, Marc;Inst. Hautes \'{E}tudes Sci. Publ. Math.,1996

2. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences];Bridson, Martin R.,1999

3. Ptolemaic spaces and CAT(0);Buckley, S. M.;Glasg. Math. J.,2009

4. Periodic metrics;Burago, D. Yu.,1992

5. Riemannian tori without conjugate points are flat;Burago, D.;Geom. Funct. Anal.,1994

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