Geodesic
A Characterization of Projective Metric Spaces
Canadian mathematical bulletin, Tome 29 (1986) no. 4, pp. 450-455

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DOI

A projective metric space is a pappian projective space together with a quadric and a certain equivalence relation on the pairs of those points which do not belong to the quadric. This equivalence relation is defined by means of the corresponding quadratic form and satisfies a condition which is a projective version of Miquel's theorem. We characterize the projective metric spaces of dimension at least two over fields of order at least 13.
DOI : 10.4153/CMB-1986-071-0
Mots-clés : quadratic form, Miquel's theorem, congruence relation, embedding into a projective space, 51F99 
Frank, Rolfdieter. A Characterization of Projective Metric Spaces. Canadian mathematical bulletin, Tome 29 (1986) no. 4, pp. 450-455. doi: 10.4153/CMB-1986-071-0
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     title = {A {Characterization} of {Projective} {Metric} {Spaces}},
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     year = {1986},
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     doi = {10.4153/CMB-1986-071-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-071-0/}
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