Spreads admitting net generating regulizations

DOI10.1007/BF00147806zbMath0859.51001MaRDI QIDQ1922795

Rolf Riesinger

Publication date: 7 April 1997

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

spreadsquadratic conehyperbolic quadricelliptic quadricflocksnet generating regularizationPappian 3-space

Mathematics Subject Classification ID

Spreads and packing problems in finite geometry (51E23) Translation planes and spreads in linear incidence geometry (51A40) Topological linear incidence structures (51H10) Desarguesian and Pappian geometries (51A30)

Related Items (7)

Piecewise regular spreads ⋮ Spreads admitting elliptic regularizations ⋮ Spreads admitting net generating regulizations ⋮ Parallelisms of \(\text{PG}(3, {\mathbb R})\) composed of non-regular spreads ⋮ On infinite \(K\)-clan geometry ⋮ A class of topological spreads with unisymplecticly complemented regulization ⋮ Topological parallelisms of the real projective 3-space

Cites Work

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• Spreads admitting regular elliptic covers
• Generalized quadrangles and flocks of cones
• Flocks of quadratic cones, generalized quadrangles and translation planes
• On the flocks of \(Q^+(3,q)\)
• Examples of rigid, topological spreads of the real projective 3- space.
• Faserungen, die aus Reguli mit einem gemeinsamen Geradenpaar zusammengesetzt sind. (About spreads which are built up by reguli with two lines in common)
• On spreads of reguli with a common tangent projectivity along a common generator
• 4-dimensionale Translationsebenen mit genau einer Fixrichtung
• A class of translation planes
• On flocks of infinite quadratic cones
• Spreads admitting net generating regulizations
• 4-dimensionale Translationsebenen mit 8-dimensionaler Kollineationsgruppe
• 4-dimensionale Translationsebenen mit irreduzibler Kollineationsgruppe
• The construction of translation planes from projective spaces
• 4-dimensionale Translationsebenen mit 7-dimensionaler Kollineationsgruppe.

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