Toroidal circle planes that are not Minkowski planes

DOI10.1007/BF01221246zbMath0928.51011OpenAlexW2070209985MaRDI QIDQ1281743

Burkhard Polster

Publication date: 3 January 2000

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

Full work available at URL: https://doi.org/10.1007/bf01221246

zbMATH Keywords

Minkowski planeaffine planetoroidal circle plane

Mathematics Subject Classification ID

Minkowski geometries in nonlinear incidence geometry (51B20) Topological nonlinear incidence structures (51H15)

Related Items (5)

Three-dimensional connected groups of automorphisms of toroidal circle planes ⋮ On toroidal circle planes with groups of automorphisms fixing exactly one point ⋮ Modified classical flat Minkowski planes ⋮ On automorphism groups of toroidal circle planes ⋮ A characterization of the known finite Minkowski planes in terms of Klein-Kroll types with respect to \(\mathcal{G}\)-translations

Cites Work

• Some Minkowski planes with 3-dimensional automorphism group
• Laguerre and Minkowski planes produced by dilatations
• Point homogeneous flat affine planes
• The piecewise projective group as group of projectivities
• Cut and Paste in 2-Dimensional Projective Planes and Circle Planes
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