A note on Hilbert and Beltrami systems

DOI10.1007/BF03322342zbMath0791.51011MaRDI QIDQ1311036

Markus Johannes Stroppel

Publication date: 11 July 1994

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

compact disktopological affine planetopological plane\(\mathbb{R}^ 2\)-planenon-Desarguesian affine planeopen embedding of topological planes

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Ordered geometries (ordered incidence structures, etc.) (51G05) Non-Desarguesian affine and projective planes (51A35) Topological linear incidence structures (51H10)

Related Items (2)

Early explicit examples of non-Desarguesian plane geometries ⋮ Remarks on the first non-Desarguesian planar geometry by Hilbert

Cites Work

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• \(R^ 2\)-planes with 3-dimensional automorphism group fixing precisely a line
• Central collineations and the parallel axiom in stable planes
• A local fundamental theorem for classical topological projective spaces
• Stable planes
• An axiomatic description of the Strambach planes
• Topological planes
• Zur Klassifikation von Salzmann-Ebenen mit dreidimensionaler Kollineationsgruppe
• 1-dimensional orbits in flat projective planes
• Projektive Darstellung der Moulton-Ebenen
• Zweidimensionale topologische Geometrien, in denen lokal die dreifache Ausartung des Desarguesschen Satzes gilt

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