Cartan structures on Galilean manifolds: The chronoprojective geometry

DOI10.1063/1.525927zbMath0515.53023OpenAlexW2064891625MaRDI QIDQ3662242

G. Burdet, M. Perrin, Christian Duval

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525927

zbMATH Keywords

chronoprojectively equivalentGalilean structuresNewtonian cosmological models

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Applications of local differential geometry to the sciences (53B50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (7)

The cosmological principle and a generalization of Newton's theory of gravitation ⋮ Structural invariance of the Schrödinger equation and chronoprojective geometry ⋮ Scaling and conformal symmetries for plane gravitational waves ⋮ Nonrelativistic conformal groups ⋮ Conformal and projective symmetries in Newtonian cosmology ⋮ Unnamed Item ⋮ Chronoprojective Cartan structures on four-dimensional manifolds

Cites Work

• On the uniqueness of the Newtonian theory as a geometric theory of gravitation
• Generating functions for the affine symplectic group
• Dynamics of continua and particles from general covariance of Newtonian gravitation theory

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