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An Axiomatics for Hyperbolic Projective-Metric Planes in Terms of Lines and Orthogonality

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Publication:4829570
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DOI10.4064/BA52-3-9zbMATH Open1101.51007OpenAlexW1988457851MaRDI QIDQ4829570

Victor V. Pambuccian

Publication date: 29 November 2004

Published in: Bulletin Polish Acad. Sci. Math. (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba52-3-9



zbMATH Keywords

perpendicularity


Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Foundations of classical theories (including reverse mathematics) (03B30)



Related Items (5)

Construction of hyperbolic geometry from the notion of line orthogonality ⋮ Coplanarity of lines in projective and polar Grassmann spaces ⋮ Projective-type axioms for the hyperbolic plane ⋮ The ubiquitous axiom ⋮ Metric affine geometry on the universe of lines






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