Generalized line stars and topological parallelisms of the real projective 3-space

DOI10.1007/S00022-008-2072-6zbMath1168.51003OpenAlexW2118586459MaRDI QIDQ1021332

Dieter Betten, Rolf Riesinger

Publication date: 8 June 2009

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

Full work available at URL: https://doi.org/10.1007/s00022-008-2072-6

zbMATH Keywords

non-Clifford parallelismtopological parallelismgeneralized line pencilgeneralized line star3-pencilcontinuous generalized line star

Mathematics Subject Classification ID

Translation planes and spreads in linear incidence geometry (51A40) Line geometries and their generalizations (51M30) Topological linear incidence structures (51H10)

Related Items (9)

A characterization of Clifford parallelism by automorphisms ⋮ Compactness of the automorphism group of a topological parallelism on real projective 3-space ⋮ Clifford parallelism: old and new definitions, and their use ⋮ Regular parallelisms from generalized line stars in \(P_{3} \mathbb{R}\): a direct proof ⋮ Automorphisms of some topological regular parallelisms of \(\mathrm{PG}(3, \mathbb{R})\) ⋮ Parallelisms of \(\text{PG}(3, {\mathbb R})\) composed of non-regular spreads ⋮ Hyperflock determining line sets and totally regular parallelisms of \(\text{PG}(3,\mathbb{R})\) ⋮ Regular parallelisms on \(\mathrm{PG}(3,\mathbb{R})\) admitting a \(2\)-torus action ⋮ Regular parallelisms on \(\mathrm{PG}(3, \mathbb{R} )\) from generalized line stars: the oriented case

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