Abstract
This paper concerns 2-dimensional (topological locally compact connected) Minkowski planes. It uses a construction of J. Jakóbowski [4] of Minkowski planes over half-ordered fields and applies it to the field of reals. This generalizes a construction by A. Schenkel [7] of 2-dimensional Minkowski planes admitting a 3-dimensional kernel. It is shown that most planes in this family of Minkowski planes have 0-dimensional and even trivial automorphism groups.
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Steinke, G.F. A Family Of 2-Dimensional Minkowski Planes with Small Automorphism Groups. Results. Math. 26, 131–142 (1994). https://doi.org/10.1007/BF03322292
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DOI: https://doi.org/10.1007/BF03322292