Jet bundles and path structures

DOI10.1063/1.524598zbMath0471.58003OpenAlexW1971917310MaRDI QIDQ3924855

Robert Alan Coleman, Herbert Korte

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1063/1.524598

zbMATH Keywords

jet bundlespath structuresconstructive axioms for general relativity theoryk-jets of curvesmicrosymmetrymicrotransformations

Mathematics Subject Classification ID

Jets in global analysis (58A20) Applications of manifolds of mappings to the sciences (58D30) Gravitational energy and conservation laws; groups of motions (83C40) Fiber bundles in algebraic topology (55R10)

Related Items (11)

Axiomatic Thinking in Physics—Essence or Useless Ornament? ⋮ Remarks concerning the notion of free fall in axiomatic space-time theory ⋮ Why fundamental structures are first or second ordera) ⋮ A geometric formulation of the equivalence principle ⋮ Characterization of free fall paths by a global or local Desargues property ⋮ The Rich Structure of Minkowski Space ⋮ A characterisation of the Weylian structure of space-time by means of low velocity tests ⋮ Reasons for a physical field to obey linear partial differential equations ⋮ Space-time philosophy reconstructed \textit{via} massive Nordström scalar gravities? Laws \textit{vs.} geometry, conventionality, and underdetermination ⋮ Spacetime G structures and their prolongations ⋮ The conformal structure of space-time in a constructive axiomatics based on elements of quantum mechanics

Cites Work

• Geometry in a manifold with projective structure
• Path structures on manifolds
• Spinning test-particles in general relativity. I

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