Two kinds of generalized Taub-NUT metrics and the symmetry of associated dynamical systems

DOI10.1088/0305-4470/27/9/029zbMath0855.70010OpenAlexW2053869709MaRDI QIDQ4868670

Noriaki Katayama, Toshihiro Iwai

Publication date: 16 February 1997

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

Full work available at URL: https://doi.org/10.1088/0305-4470/27/9/029

zbMATH Keywords

angular momentum vectorKepler-type symmetryBertrand's methodgeodesic flow systemharmonic oscillator-type systemmonopole-monopole interactionRunge-Lenz-like vector

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (12)

Recurrence approach and higher order polynomial algebras for superintegrable monopole systems ⋮ Multifold Kepler systems—Dynamical systems all of whose bounded trajectories are closed ⋮ A NOTE ON KLEIN–GORDON EQUATION IN A GENERALIZED KALUZA–KLEIN MONOPOLE BACKGROUND ⋮ Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability ⋮ Dynamical and symmetry groups of the \(SU (2)\) Kepler problem ⋮ THE DIRAC FIELD IN TAUB–NUT BACKGROUND ⋮ An exactly solvable deformation of the Coulomb problem associated with the Taub-NUT metric ⋮ MICZ-Kepler systems in noncommutative space and duality of force laws ⋮ Curved manifolds with conserved Runge–Lenz vectors ⋮ Nonlinear symmetries on spaces admitting Killing tensors ⋮ Quadratic algebra for superintegrable monopole system in a Taub-NUT space ⋮ Jacobi’s principle for magnetic interactions

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