Affine structure and isotropy imply Minkowski space-time and the orthochronous Poincaré group

DOI10.1063/1.528431zbMath0662.53055OpenAlexW2025054836MaRDI QIDQ3811319

John W. Schutz

Publication date: 1989

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528431

zbMATH Keywords

isotropyPoincaré groupaffine structurefreely moving observers

Mathematics Subject Classification ID

Special relativity (83A05) Equations of motion in general relativity and gravitational theory (83C10) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• Mappings of spaces with families of cones and space-time transformations
• Lie groups in the foundations of geometry
• Das Helmholtz-Liesche Raumproblem bei indefiniter Metrik
• The structure of space-time transformations
• An axiomatic system for Minkowski space–time
• Axiomatic relativity theory
• Causality Implies the Lorentz Group
• A Contribution to Chronogeometry
• Kinematic geometry; an axiomatic system for Minkowski space-time

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