The Beckman-Quarles theorem in Minkowski space for a spacelike square- distance

DOI10.1007/BF01234395zbMath0457.51027MaRDI QIDQ1151137

June A. Lester

Publication date: 1981

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Lorentz transformationMinkowskian metricspacelike square-distance

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Lie geometries in nonlinear incidence geometry (51B25)

Related Items (9)

Axiomatic Thinking in Physics—Essence or Useless Ornament? ⋮ On the characterization of lorentz transformations by a functional equation ⋮ Separation-preserving transformations of de Sitter spacetime ⋮ The Beckman-Quarles theorem via the triangle inequality ⋮ Eine Beckman-Quarles-Aussage für reguläre Metriken von Index \(\leq 2\). (A result of Beckman-Quarles type for regular metrics of index \(\leq 2.)\) ⋮ Automorphisms of finite Einstein geometries ⋮ Transformations of Robertson-Walker spacetimes preserving separation zero ⋮ A characterization for isometries and conformal mappings of pseudo- Riemannian manifolds ⋮ On a general principle in geometry that leads to functional equations

Cites Work

• Unnamed Item
• Zur Kennzeichnung der Lorentz-Transformationen
• Eine Beckman-Quarles-Charakterisierung der Lorentztransformationen des \(\mathbb{R}^n\)
• A characterization of isometries of absolute planes
• Zur Charakterisierung der Lorentz-Transformationen
• The structure of space-time transformations
• Transformations of n-Space which Preserve a Fixed Square-Distance
• On null cone preserving mappings
• Cone Preserving Mappings for Quadratic Cones Over Arbitrary Fields
• Causality Implies the Lorentz Group
• A Contribution to Chronogeometry
• On Isometries of Euclidean Spaces

This page was built for publication: The Beckman-Quarles theorem in Minkowski space for a spacelike square- distance