Summary.
A metric line of the real distance space (S, δ) is the image of an isometric mapping of the Euclidean line \( \user1{\mathbb{R}} \) to S. We determine all metric lines of Lorentz–Minkowski geometry.
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Manuscript received: August 28, 2004 and, in final form, December 10, 2004.
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Höfer, R. Metric lines in Lorentz–Minkowski geometry. Aequ. math. 71, 162–173 (2006). https://doi.org/10.1007/s00010-005-2778-6
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DOI: https://doi.org/10.1007/s00010-005-2778-6