English

Group actions on geodesic Ptolemy spaces

Metric Geometry 2008-12-04 v1

Abstract

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

Keywords

Cite

@article{arxiv.0812.0672,
  title  = {Group actions on geodesic Ptolemy spaces},
  author = {Thomas Foertsch and Viktor Schroeder},
  journal= {arXiv preprint arXiv:0812.0672},
  year   = {2008}
}

Comments

20 pages, 1 figure

R2 v1 2026-06-21T11:47:51.507Z