On the validity of a Benz condition for non-standard Galois fields and for \(\mathbb{Q}\)

DOI10.1007/BF01223041zbMath0848.51011MaRDI QIDQ1912006

Alessandro Siciliano

Publication date: 28 October 1996

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

zbMATH Keywords

Minkowski distanceBenz conditionnonstandard Galois fieldWeierstrass cubic

Mathematics Subject Classification ID

Metric geometry (51F99) Special algebraic curves and curves of low genus (14H45) Elementary problems in Euclidean geometries (51M04) Euclidean geometries (general) and generalizations (51M05) Nonstandard arithmetic and field theory (12L15)

Uses Software

• ecdata

Cites Work

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• On the characterization of plane affine isometries
• On a theorem by W. Benz characterizing plane Lorentz transformations in Jaernefelt's world
• On mappings preserving a single Lorentz-Minkowski-distance. II

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