An axiomatic basis of space-time theory. III: Construction of a differentiable manifold

DOI10.1016/0034-4877(92)90020-2zbMath0798.53083OpenAlexW2021452205MaRDI QIDQ1308490

Udo Schelb

Publication date: 9 January 1994

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(92)90020-2

zbMATH Keywords

observerssmoothnessaxiomatic foundationRiemannian structure\(L\)-concept

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) General relativity (83C99) General theory of mathematical modeling (00A71)

Related Items (5)

On a new condition distinguishing Weyl and Lorentz space-times ⋮ Establishment of the Riemannian structure of space-time by classical means ⋮ Distinguishability of Weyl-from Lorentz-space-times by classical physical means ⋮ A characterisation of the Weylian structure of space-time by means of low velocity tests ⋮ The conformal structure of space-time in a constructive axiomatics based on elements of quantum mechanics

Cites Work

• An axiomatic basis of space-time theory. I: Construction of a causal space with coordinates
• The differentiable and causal structures of space-time
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