Abstract
IMAGINARY elements in geometry were for a long time considered solely as an auxiliary to the study of real points. Projective complex geometry, considered as an independent branch of mathematics, owes its origin to von Staudt (1858) who introduced the notion of a chain, and it was greatly developed by Juel (1885) and Segre (1889). The latter showed the importance of antiprojective transformations, anti-involutions and antipolarities. Prof. Cartan treats complex projective geometry from a higher point of view, linking it with non-Euclidean geometry of three dimensions, following the example of Poincaré, who linked real projective geometry with non-Euclidean geometry of the plane.
Legons sur la géométric projective complexe.
Par Prof. E. Cartan. D'Aprés des notes recueillies et rédigées par F. Marty. (Cahiers scientifiques, Fascicule 10.) Pp. vii+325. (Paris: Gauthier-Villars et Cie, 1931.) 80 francs.
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P., H. Mathematical and Physical Science. Nature 130, 622 (1932). https://doi.org/10.1038/130622a0
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DOI: https://doi.org/10.1038/130622a0