Submersive second order ordinary differential equations

DOI10.1017/S0305004100070262zbMath0746.58031OpenAlexW2046189903MaRDI QIDQ3977028

Marek Kossowski, Gerard Thompson

Publication date: 25 June 1992

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100070262

zbMATH Keywords

Euler-Lagrange equationsfoliationsspraysalmost tangent structuresregular Lagrangians

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Foliations (differential geometric aspects) (53C12)

Related Items (8)

The inverse problem for six-dimensional codimension two nilradical lie algebras ⋮ Nonautonomous submersive second-order differential equations and Lie symmetries ⋮ Tangent bundle geometry induced by second order partial differential equations ⋮ Complete separability of time-dependent second-order ordinary differential equations ⋮ Driven Newton equations and separable time-dependent potentials ⋮ Bi-invariant and noninvariant metrics on Lie groups ⋮ Un-reduction of systems of second-order ordinary differential equations ⋮ Nonlinear splittings on fibre bundles

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Three integrable Hamiltonian systems connected with isospectral deformations
• Reduction of symplectic manifolds with symmetry
• Espaces variationnels et mécanique
• Structure presque tangente et connexions. I
• Tangent bundle geometry Lagrangian dynamics
• A separability theorem for dynamical systems admitting alternative Lagrangian descriptions
• On the differential geometry of the Euler-Lagrange equations, and the inverse problem of Lagrangian dynamics
• Solution of the Inverse Problem of the Calculus of Variations

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