A Remark on the Projective Geometry of Constant Curvature Spaces
Metric Geometry
2012-09-18 v1 Geometric Topology
Abstract
We highlight the relation between the projective geometries of -dimensional Euclidean, spherical and hyperbolic spaces through the projective models of these spaces in the -dimensional Minkowski space, using a cross ratio notion which is proper to each of the three geometries.
Keywords
Cite
@article{arxiv.1209.3579,
title = {A Remark on the Projective Geometry of Constant Curvature Spaces},
author = {Athanase Papadopoulos and Sumio Yamada},
journal= {arXiv preprint arXiv:1209.3579},
year = {2012}
}