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 ofhyperbola structures (see [4]) or(B*)-Geometrien (see [2]).
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This research was supported by a Feodor Lynen Fellowship and an ARC International Research Fellowship.
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Polster, B. Toroidal circle planes that are not Minkowski planes. J Geom 63, 154–167 (1998). https://doi.org/10.1007/BF01221246
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DOI: https://doi.org/10.1007/BF01221246