Conformal triality of the Kepler problem

DOI10.1016/J.GEOMPHYS.2016.03.030zbMath1341.53050arXiv1508.03408OpenAlexW1834384129MaRDI QIDQ295761

Marco Cariglia

Publication date: 13 June 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.03408

zbMATH Keywords

integrable Hamiltonian systemsnull liftsprojective dynamicsWeyl geometry

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Applications of local differential geometry to the sciences (53B50) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Non-Euclidean differential geometry (53A35) Projective connections (53B10)

Related Items (1)

Jacobi–Maupertuis metric and Kepler equation

Cites Work

• Unnamed Item
• Null lifts and projective dynamics
• The Kepler problem. Group theoretical aspects, regularization and quantization, with application to the study of perturbations (incl. CD-ROM)
• The classical Kepler problem and geodesic motion on spaces of constant curvature
• Two-body motion under the inverse square central force and equivalent geodesic flows
• Spectrum generating algebras for the classical Kepler problem
• The conformal group SO (4,2) and Robertson-Walker spacetimes
• Regularization of kepler's problem and the averaging method on a manifold

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