English

Straight projective-metric spaces with centers

Metric Geometry 2018-12-24 v1

Abstract

It is proved that a straight projective-metric space has an open set of centers, if and only if it is either the hyperbolic or a Minkowskian geometry. It is also shown that if a straight projective-metric space has some finitely many well-placed centers, then it is either the hyperbolic or a Minkowskian geometry.

Keywords

Cite

@article{arxiv.1812.09312,
  title  = {Straight projective-metric spaces with centers},
  author = {Árpád Kurusa},
  journal= {arXiv preprint arXiv:1812.09312},
  year   = {2018}
}

Comments

11 pages

R2 v1 2026-06-23T06:54:00.411Z