Topologische Laguerreebenen, II

DOI10.1007/BF02992884zbMath0187.42302OpenAlexW2063082754MaRDI QIDQ2537028

Jürgen Groh

Publication date: 1969

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

Full work available at URL: https://doi.org/10.1007/bf02992884

zbMATH Keywords

foundations of geometry

Related Items (43)

The classification of Kleinewillinghöfer types of \(2\)-dimensional Laguerre planes ⋮ A new family of 2-dimensional Laguerre planes that admit \(\mathrm{PSL}_2(\mathbb{R}) \times \mathbb{R}\) as a group of automorphisms ⋮ The Apollonius problem in four-dimensional Laguerre planes ⋮ Compact Tits quadrangles as Lie geometries of topological Laguerre spaces ⋮ Integrating and differentiating two-dimensional incidence structures ⋮ Semiclassical topological flat Laguerre planes obtained by pasting along a circle ⋮ The point space of 4-dimensional Laguerre planes ⋮ A FAMILY OF TWO-DIMENSIONAL LAGUERRE PLANES OF KLEINEWILLINGHÖFER TYPE II.A.2 ⋮ Semi-biplanes on the cylinder ⋮ Semiclassical topological flat Laguerre planes obtained by pasting along two parallel classs ⋮ Half-ovoidal flat Laguerre planes ⋮ Recycling circle planes ⋮ Locally classical topological Benz planes are classical ⋮ Linear geometries on the Moebius strip: A theorem of Skornyakov type ⋮ Flat weakly Miquelian Laguerre planes are ovoidal ⋮ The Apollonius problem in flat Laguerre planes ⋮ The elation group of a 4-dimensional Laguerre plane ⋮ Flat Laguerre planes admitting 4-dimensional groups of automorphisms that fix a parallel class ⋮ Flat Laguerre planes of Kleinewillinghöfer type E obtained by cut and paste ⋮ 𝑛-unisolvent sets and flat incidence structures ⋮ Topological antiregular quadrangles ⋮ A family of flat Laguerre planes of Kleinewillinghöfer type IV.A ⋮ On the Kleinewillinghöfer types of flat Laguerre planes ⋮ A characterization of certain elation Laguerre planes in terms of Kleinewillinghöfer types ⋮ Laguerre planes generated by Moebius planes ⋮ Flat Moebius and Laguerre planes ⋮ Sisters of some 4-dimensional elation Laguerre planes of group dimension 10 ⋮ Proof of the oval conjecture for proper planar partition surfaces ⋮ Algebraische Geometrien ⋮ Schleiermachers Starrheitsbedingung für Projektivitäten in der topologischen Geometrie ⋮ Der von Staudtsche Standpunkt in lokal kompakten Geometrien ⋮ A family of 2-dimensional Laguerre planes of generalised shear type ⋮ Generalized quadrangles constructed from topological Laguerre planes ⋮ Characterization of ovoidal Laguerre planes ⋮ Flat Laguerre planes of Kleinewillinghöfer type III.B ⋮ Locally miquelian Benz planes ⋮ On flat Laguerre planes ⋮ Moebius planes with locally euclidean circles are flat ⋮ A FLAT LAGUERRE PLANE OF KLEINEWILLINGHÖFER TYPE V ⋮ A note on the Kleinewillinghöfer types of 4-dimensional Laguerre planes ⋮ A classification of 4-dimensional elation Laguerre planes of group dimension 10 ⋮ Flat Laguerre planes admitting 4-dimensional groups of automorphisms that fix at least two parallel classes ⋮ 4-dimensional point-transitive groups of automorphisms of 2-dimensional Laguerre planes

Cites Work

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• Topological projective planes
• Some remarks concerning topologically homogeneous spaces
• Topologische Möbiusebenen
• Topological planes
• Über den Zusammenhang in topologischen projektiven Ebenen
• Multiplication on Spheres (I)
• On locally compact metrisable spaces
• Local Metric Geometry

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