Projective spaces with Cayley-Klein metrics |
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Authors: | Horst Struve Rolf Struve |
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Institution: | (1) Seminar für Mathematik und ihre Didaktik, Universität zu Köln, Gronewaldstraße 2, 50931 Köln, Germany;(2) SIGNAL IDUNA Gruppe, Joseph-Scherer-Straße 3, 44139 Dortmund, Germany |
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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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Keywords: | 06B25 51F10 |
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