scientific article; zbMATH DE number 3615560

zbMath0396.58003MaRDI QIDQ4179554

A. T. Fomenko, A. S. Mishchenko

Publication date: 1978

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Hamiltonian flowssymplectic manifoldgeodesic flow on the sphereLie algebra of integralsLiouville theorem on integrals in involution

Mathematics Subject Classification ID

Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamics induced by flows and semiflows (37C10) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Geodesic flows in symplectic geometry and contact geometry (53D25)

Related Items (23)

Degenerately integrable systems ⋮ Symplectic curvature and the Arnold form over an isotropic submanifold ⋮ Unnamed Item ⋮ Taylor series and twisting-index invariants of coupled spin-oscillators ⋮ Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems ⋮ Linearity of minimally superintegrable systems in a static electromagnetic field ⋮ Geodesic flows and Neumann systems on Stiefel varieties: geometry and integrability ⋮ Noncommutative integration of the Klein-Gordon equation in electromagnetic fields admitting functional arbitrariness ⋮ Actions toriques et groupes d'automorphismes de singularités des systèmes dynamiques intégrables. (Torus actions and automorphism groups of singularities of integrable dynamical systems) ⋮ Integrability of the Wong equations in the class of linear integrals of motion ⋮ Differential Galois obstructions for non-commutative integrability ⋮ Geodesic flows on real forms of complex semi-simple Lie groups of rigid body type ⋮ Integration of geodesic flows on symmetric spaces ⋮ Contact flows and integrable systems ⋮ Completeness of commutative Sokolov-Odesskii subalgebras and Nijenhuis operators on ⋮ On algebraic-analytic aspects of the abelian Liouville-Arnold integrability by quadratures of Hamiltonian systems on cotangent spaces ⋮ Integrability of invariant geodesic flows on \(n\)-symmetric spaces ⋮ Integrable reductions of the dressing chain ⋮ Integral representations over isotropic submanifolds and equations of zero curvature ⋮ Dynamics of the \(n\)-dimensional Suslov problem ⋮ Collective geodesic flows. ⋮ Geometric structure of ``broadly integrable Hamiltonian systems ⋮ Superintegrability of left-invariant sub-Riemannian structures on unimodular three-dimensional Lie groups

This page was built for publication: