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<p>We describe Minkowski planes in which each reflection about a generator occurs as an automorphism of the Minkowski plane and completely characterize these Minkowski planes by properties of their coordinatizing KT-quasifields. We further investigate topological Minkowski planes with this property and provide examples of Minkowski planes where certain combinations of all symmetries about circles or all reflections about generators exist.</p>

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An algebraic characterization of Minkowski planes which admit all reflections about generators

  • 期刊论文

  • 发表日期：

    2026年2月6日

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  • Andrzej Matraś,
  • Günter F. Steinke

摘要

We describe Minkowski planes in which each reflection about a generator occurs as an automorphism of the Minkowski plane and completely characterize these Minkowski planes by properties of their coordinatizing KT-quasifields. We further investigate topological Minkowski planes with this property and provide examples of Minkowski planes where certain combinations of all symmetries about circles or all reflections about generators exist.