Toroidal circle planes that are not Minkowski planes

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Abstract

We construct first examples of circle planes on the torus that are no Minkowski planes, but satisfy the same axiom of joining as flat Minkowski planes. The circle planes constructed by us form a special class of hyperbola structures (see [4]) or (B*)-Geometrien (see [2]).

Original languageEnglish
Pages (from-to)154-167
Number of pages14
JournalJournal of Geometry
Volume63
Issue number1-2
Publication statusPublished - 1998
Externally publishedYes

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