Cut and Paste in 2-Dimensional Projective Planes and Circle Planes

DOI10.4153/CMB-1995-069-1zbMath0844.51005OpenAlexW2329803401MaRDI QIDQ4863011

Günter F. Steinke, Burkhard Polster

Publication date: 7 March 1996

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-1995-069-1

zbMATH Keywords

cuttingpastingtopological planescircle planes2-dimensional projective planes

Mathematics Subject Classification ID

Möbius geometries (51B10) Topological nonlinear incidence structures (51H15) Topological linear incidence structures (51H10) Laguerre geometries (51B15)

Related Items (11)

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 ⋮ A FAMILY OF TWO-DIMENSIONAL LAGUERRE PLANES OF KLEINEWILLINGHÖFER TYPE II.A.2 ⋮ Half-ovoidal flat Laguerre planes ⋮ Invertible sharply \(n\)-transitive sets ⋮ The piecewise projective group as group of projectivities ⋮ Early explicit examples of non-Desarguesian plane geometries ⋮ Flat Laguerre planes of Kleinewillinghöfer type E obtained by cut and paste ⋮ On the Kleinewillinghöfer types of flat Laguerre planes ⋮ A family of 2-dimensional Laguerre planes of generalised shear type ⋮ Toroidal circle planes that are not Minkowski planes

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