, Volume 21, Issue 1, pp 164-183

A characterization of the semi-isometries of a Minkowski plane over a field K

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Abstract

Under certain hypotheses on the field K,W.Bens has proved that a map of the plane K2, which preserves a single Lorents-Minkowski — distance is semilinear and injective [5],[6]. We shall generalise this result for every field K with char K ∉ {2,3,5 } and for K = GF(5m), m> 1.