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A characterization of isometries of absolute planes

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Publication:1157780
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DOI10.1007/BF03322964zbMath0472.51009MaRDI QIDQ1157780

Bijan Farrahi

Publication date: 1981

Published in: Results in Mathematics (Search for Journal in Brave)


zbMATH Keywords

preserving one single segment isometries


Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10)


Related Items (6)

Eine Beckman-Quarles-Charakterisierung der Lorentztransformationen des \(\mathbb{R}^n\) ⋮ The Beckman-Quarles theorem in Minkowski space for a spacelike square- distance ⋮ Zur Kennzeichnung distanztreuer Abbildungen in nichteuklidischen Räumen ⋮ Isometries of Spheres ⋮ Real distance spaces and hyperbolic geometry ⋮ A characterization of the semi-isometries of a Minkowski plane over a field K




Cites Work

  • On isometries of Euclidean planes
  • Kreise, Zykel, Ketten. Zur Geometrie der Algebren
  • On Isometries of Euclidean Spaces




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