<p>Klein and Kroll classified groups of automorphisms of hyperbola structures and Minkowski planes with respect to subgroups of Minkowski translations. We provide examples of proper hyperbola structures (not Minkowski planes) of Klein–Kroll types D, E and F, and of Minkowski planes of Klein–Kroll type E.</p>

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Hyperbola structures, Minkowski planes and Klein–Kroll type E

  • Günter F. Steinke

摘要

Klein and Kroll classified groups of automorphisms of hyperbola structures and Minkowski planes with respect to subgroups of Minkowski translations. We provide examples of proper hyperbola structures (not Minkowski planes) of Klein–Kroll types D, E and F, and of Minkowski planes of Klein–Kroll type E.