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A Characterization of Projective Metric Spaces

Published online by Cambridge University Press:  20 November 2018

Rolfdieter Frank
Rolfdieter Frank*
Affiliation:
Department of Mathematics University of Toronto Toronto, Ontario Canada M5A 1A1
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Abstract

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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.

Keywords

quadratic formMiquel's theoremcongruence relationembedding into a projective space51F99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 4 , 01 December 1986 , pp. 450 - 455
Copyright
Copyright © Canadian Mathematical Society 1986

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