Abstract.
Projective metrics were first introduced by A. Cayley and F. Klein who constructed analytical models over the field of complex numbers. The aim of this paper is to give for the first time a purely synthetic definition of all projective spaces with Cayley-Klein metrics and to develop the synthetic foundation of projective-metric geometry to a level of generality including metrics over arbitrary fields of characteristic ≠2.
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Struve, H., Struve, R. Projective spaces with Cayley-Klein metrics. J. geom. 81, 155–167 (2004). https://doi.org/10.1007/s00022-004-1679-5
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DOI: https://doi.org/10.1007/s00022-004-1679-5