A Remark on the Projective Geometry of Constant Curvature Spaces
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🧮 math.MG
math.GT
keywords
projectivespacesdimensionalgeometriesconstantcrosscurvatureeuclidean
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We highlight the relation between the projective geometries of $n$-dimensional Euclidean, spherical and hyperbolic spaces through the projective models of these spaces in the $n+1$-dimensional Minkowski space, using a cross ratio notion which is proper to each of the three geometries.
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