Flat weakly Miquelian Laguerre planes are ovoidal

DOI10.1007/BF02940874zbMath0953.51003MaRDI QIDQ1969661

Andreas E. Schroth

Publication date: 19 March 2000

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

bundle theoremovoidal Laguerre planeMiquel conditionaxiom of Veblen-Young

Mathematics Subject Classification ID

Topological nonlinear incidence structures (51H15) Laguerre geometries (51B15)

Related Items (1)

Partial circle geometries and antiregular quadrangles

Cites Work

• Schließungssätze in Laguerre-Ebenen. (Closure theorems in Laguerre planes)
• Locally projective-planar lattices which satisfy the bundle theorem
• Topologische Ovale
• Ovoidal Laguerre planes are weakly Miquelian
• Miquelian theorems in Minkowski planes
• Miquelian theorems in Minkowski planes. I
• A non-Miquelian Laguerre plane satisfying a theorem of Miquelian type
• Miquelian theorems in Minkowski-planes. III
• Compact projective planes. With an introduction to octonion geometry
• Locally projective spaces which satisfy the bundle theorem
• Topologische Laguerreebenen. I
• Topologische Laguerreebenen, II
• Die Sieben-Punkte-Ausartungen des Satzes von Miquel in Möbiusebenen

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