paper

Straight projective-metric spaces with centers

arXiv:1812.09312 · doi:10.1007/s00022-018-0426-2

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.

11 pages