The continuous transition of Hamiltonian vector fields through manifolds of constant curvature

DOI10.1063/1.4953371zbMath1372.70043arXiv1510.06327OpenAlexW3099408757MaRDI QIDQ3178321

Jędrzej Śniatycki, Slim Ibrahim, Florin Nicolae Diacu

Publication date: 11 July 2016

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

Full work available at URL: https://arxiv.org/abs/1510.06327

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) (n)-body problems (70F10)

Related Items (3)

Attracting and repelling 2-body problems on a family of surfaces of constant curvature ⋮ Stability, periodic solution and KAM tori in the circular restricted \((N+1)\)-body problem on \({\mathbb{S}}^3\) and \({\mathbb{H}}^3\) ⋮ The N-body problem in spaces with uniformly varying curvature

Cites Work

• The Vlasov-Poisson system for stellar dynamics in spaces of constant curvature
• Relative equilibria of the curved \(N\)-body problem.
• Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces
• An intrinsic approach in the curved \(n\)-body problem: the negative curvature case
• Semilinear Schrödinger flows on hyperbolic spaces: scattering in \(H^{1}\)
• Rotopulsators of the curved \(N\)-body problem
• Relative equilibria in the 3-dimensional curved n-body problem
• On the singularities of the curved $n$-body problem
• Rectangular orbits of the curved 4-body problem
• Polygonal homographic orbits of the curved $n$-body problem
• The Nonlinear Schrödinger Equation on Hyperbolic Space
• Unnamed Item

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