A Remark on the Projective Geometry of Constant Curvature Spaces

preprint2012arXivOpen access

Abstract

We highlight the relation between the projective geometries of nn-dimensional Euclidean, spherical and hyperbolic spaces through the projective models of these spaces in the n+1n+1-dimensional Minkowski space, using a cross ratio notion which is proper to each of the three geometries.

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