Lagrangian submanifolds and the Hamilton-Jacobi equation

DOI10.1007/s00605-013-0522-1zbMath1312.70013arXiv1209.0807OpenAlexW2090816497MaRDI QIDQ368530

Manuel de León, David Martín de Diego, María Barbero-Liñán

Publication date: 23 September 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.0807

zbMATH Keywords

holonomic systemsymplectic manifoldnonholonomic systemsingular Lagrangian

Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Holonomic systems related to the dynamics of a system of particles (70F20)

Related Items (10)

A Hamilton–Jacobi formalism for higher order implicit Lagrangians ⋮ Hamilton-Jacobi theory for gauge field theories ⋮ A Hamilton–Jacobi theory for implicit differential systems ⋮ Hamilton-Jacobi theory in multisymplectic classical field theories ⋮ A Hamiltonian pertubation approach to construction of geometric integrators for optimal control problems ⋮ The Hamilton-Jacobi equation, integrability, and nonholonomic systems ⋮ Systems of Hamilton-Jacobi equations ⋮ Hamilton-Dirac systems for charged particles in gauge fields ⋮ Reviewing the geometric Hamilton–Jacobi theory concerning Jacobi and Leibniz identities ⋮ On locally conformally cosymplectic Hamiltonian dynamics and Hamilton–Jacobi theory

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