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arxiv: 1401.4898 · v2 · pith:JGZG2OPOnew · submitted 2014-01-20 · 🧮 math.MG

Isometries of Minkowski geometries

classification 🧮 math.MG
keywords minkowskigeometriesisometriescharacterizeclassescontainellipsefacts
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In this paper we review the known facts on isometries of Minkowski geometries and prove some new results on them. We give the normal forms of two special classes of operators and also characterize the isometry group of Minkowski $3$-spaces in which the unit sphere does not contain an ellipse.

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