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A characterization of isometries of rational Euclidean spaces |
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| Authors: | Bijan Farrahi |
| Affiliation: | (1) Arya-Mehr University, P.O. Box 3406, Tehran, Iran |
| Abstract: | We show that an injection of the rational Euclidean n-space, n 5, which preserves the distances e, 1/2e, e an arbitrary non-zero rational number, is necessarily an isometry. Further, we show that the above characterization fails in case n=3 or 4. |
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