Generalized Euclidean and elliptic geometries, their connections and automorphism groups

DOI10.1007/BF01226804zbMath0797.51020MaRDI QIDQ1312231

Helmut Karzel, Rotraut Stanik, Silvia Pianta

Publication date: 20 October 1994

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

automorphism groupscongruencedouble spacegeneralized elliptic spacegeneralized Euclidean geometryleft parallelismprojective kinematic spacequaternion fieldsright parallelism

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Homogeneous spaces and generalizations (14M17) Metric geometry (51F99) Euclidean geometries (general) and generalizations (51M05) Homomorphism, automorphism and dualities in linear incidence geometry (51A10)

Related Items (4)

A geometric construction of the K-loop of a hyperbolic space ⋮ Clifford-like parallelisms ⋮ A characteristic property of elliptic Plücker transformations ⋮ In memoriam: Helmut Karzel (1928--2021)

Cites Work

• Collineations of geometric structures derived from quaternion algebras
• Über pseudoaffine Räume. (On pseudoaffine spaces)
• Projektive Doppelräume
• Eine inzidenzgeometrische Kennzeichnung projektiver kinematischer Räume
• Pseudo-Euklidische Ebenen und Euklidische Räume
• Bericht über projektive Inzidenzgruppen
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