On mappings preserving a single Lorentz-Minkowski-distance. II

DOI10.1007/BF01951198zbMath0499.51005OpenAlexW2202274537MaRDI QIDQ1171756

Walter Benz

Publication date: 1981

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01951198

zbMATH Keywords

Lorentz transformations in Jaernefelt's 2-dimensional space-time are characterized as mappings preserving one non-zero proper length or proper time

Mathematics Subject Classification ID

Special relativity (83A05) Minkowski geometries in nonlinear incidence geometry (51B20)

Related Items (6)

On the validity of a Benz condition for non-standard Galois fields and for \(\mathbb{Q}\) ⋮ Zur Kennzeichnung von Lorentztransformationen in endlichen Ebenen ⋮ A Beckman-Quarles type theorem for finite Desarguesian planes ⋮ Eine Kennzeichnung der Dilatationen endlicher Desarguesscher Ebenen der Charakteristik \(\neq 2,3,5\) ⋮ über Abstand 1 erhaltende Abbildungen in Minkowski-Ebenen ⋮ Mappings of Galois planes preserving the unit Euclidean distance

Cites Work

• On the characterization of plane affine isometries
• On a theorem by W. Benz characterizing plane Lorentz transformations in Jaernefelt's world
• On Isometries of Euclidean Spaces
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