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arxiv: 1812.09312 · v1 · pith:AZ7UC5QAnew · submitted 2018-12-21 · 🧮 math.MG

Straight projective-metric spaces with centers

classification 🧮 math.MG
keywords centersprojective-metricstraighteithergeometryhyperbolicminkowskianspace
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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.

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