A geometric characterization of the real absolute planes.

DOI10.1007/s00022-011-0062-6zbMath1231.51012OpenAlexW2036180736MaRDI QIDQ641699

Eberhard M. Schroeder

Publication date: 25 October 2011

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-011-0062-6

zbMATH Keywords

hyperbolic geometryEuclidean geometryabsolute planeBachmann plane

Mathematics Subject Classification ID

Ordered geometries (ordered incidence structures, etc.) (51G05) Absolute planes in metric geometry (51F05) Congruence and orthogonality in metric geometry (51F20) Reflection groups, reflection geometries (51F15)

Related Items

Transversals in plane hyperbolic geometry

Cites Work

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• Ebenen mit Kongruenz
• Die Modelle des Hilbertschen Axiomensystems der absoluten Geometrie
• Zur projektiven Einbettung von Inzidenzräumen mit Eigentlichkeitsbereich
• Pseudo-Euklidische Ebenen und Euklidische Räume
• Spiegelungsgruppen und absolute Gruppenräume

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