Symplectic manifolds with Lagrangian fibration

DOI10.1007/BF00416514zbMath0606.53021OpenAlexW2090178245MaRDI QIDQ1084678

Gerard Thompson

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf00416514

zbMATH Keywords

Hamilton-Jacobi theorysymplectic manifoldLagrangian fibrationLegendre transformation

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Hamilton-Jacobi equations in mechanics (70H20)

Related Items

Lagrangian distributions and connections in multisymplectic and polysymplectic geometry ⋮ Coisotropic regularization of singular Lagrangians ⋮ The inverse problem in the calculus of variations and the geometry of the tangent bundle ⋮ On symplectic submanifolds of cotangent bundles

Cites Work

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• Killing tensors and the separation of the Hamilton-Jacobi equation
• Symplectic manifolds and their Lagrangian submanifolds
• Tangent bundle geometry Lagrangian dynamics
• Affine bundles and integrable almost tangent structures
• Characteristic classes