A characterization of dimension-free hyperbolic geometry and the functional equation of 2-point invariants

DOI10.1007/S00010-010-0050-1zbMath1209.51010OpenAlexW2089707729MaRDI QIDQ623420

Walter Benz

Publication date: 14 February 2011

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-010-0050-1

zbMATH Keywords

hyperbolic geometrydimension-freefunctional equation of 2-point invariantsisomorphic geometriesreal inner product spaces

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (1)

Hyperbolic geometry for non-differential topologists

Cites Work

• Kollineationen auf Drei-und Vierecken in der Desarguesschen projektiven Ebene und Äquivalenz der Dreiecksnomogramme und der Dreigewebe von Loops mit der Isotopie-Isomorphie-Eigenschaft
• From pentacyclic coordinates to chain geometries, and back
• On the characterization of plane projective and complex MOEBIUS‐transformations
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