Absolute isotropic geometry
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Publication:1996192
DOI10.1007/s00022-020-00558-zzbMath1458.51006OpenAlexW3108349939MaRDI QIDQ1996192
Publication date: 3 March 2021
Published in: Journal of Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00022-020-00558-z
isotropic geometryabsolute geometryGalilean geometryordered geometryCayley-Klein geometriestheorem of Saccheri
Ordered geometries (ordered incidence structures, etc.) (51G05) Absolute planes in metric geometry (51F05) Reflection groups, reflection geometries (51F15)
Cites Work
- An axiomatic foundation of Cayley-Klein geometries
- The principle of duality in Euclidean and in absolute geometry
- The Thomsen-Bachmann correspondence in metric geometry. I
- The Thomsen-Bachmann correspondence in metric geometry. II
- Ein spiegelungsgeometrischer Aufbau der Galileischen Geometrie
- Ordered metric geometry
- Hjelmslevgruppen, in denen sich die Punkte gegen Geraden austauschen lassen
- Die Modelle des Hilbertschen Axiomensystems der absoluten Geometrie
- Projective spaces with Cayley-Klein metrics
- Cyclic order: a geometric analysis
- Ordered groups and ordered geometries
- Two remarks on ordering in absolute planes
- Trägheitsstrukturen quadratischer Formen
- Modelle der ebenen absoluten Geometrie
- Minkowskische und absolute Geometrie. I, II
- Zur Parallelenfrage
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