The calculus of reflections and the order relation in hyperbolic geometry
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Publication:1926114
DOI10.1007/s00022-012-0123-5zbMath1277.51013OpenAlexW2026282395MaRDI QIDQ1926114
Publication date: 27 December 2012
Published in: Journal of Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00022-012-0123-5
Hyperbolic and elliptic geometries (general) and generalizations (51M10) Ordered geometries (ordered incidence structures, etc.) (51G05) Reflection groups, reflection geometries (51F15)
Related Items (5)
Simpler foundations for the hyperbolic plane ⋮ Ordered metric geometry ⋮ Cyclic order: a geometric analysis ⋮ Ordered groups and ordered geometries ⋮ A note on transversals in hyperbolic planes
Cites Work
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- The axiomatics of ordered geometry: I. Ordered incidence spaces
- Zur Kennzeichnung der Gruppe der gebrochen-linearen Transformationen über einem Körper von Charakteristik \(\neq 2\)
- Ein spiegelungsgeometrischer Aufbau der cominkowskischen Geometrie
- Simplicity
- Projective-type axioms for the hyperbolic plane
- The simplest axiom system for plane hyperbolic geometry
- Eine Kennzeichnung der Gruppe der gebrochen-linearen Transformationen
- Eine Begründung der hyperbolischen Geometrie
- The complexity of plane hyperbolic incidence geometry is ????
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