Constrained time-dependent Lagrangian systems and Lagrangian submanifolds

DOI10.1063/1.530264zbMath0773.70013OpenAlexW1973883893MaRDI QIDQ4201676

Manuel de León, Juan Carlos Marrero

Publication date: 5 September 1993

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

Full work available at URL: https://doi.org/10.1063/1.530264

zbMATH Keywords

special symplectic manifoldsTulczyjew theory

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lagrange's equations (70H03)

Related Items (12)

A geometric setting for higher-order Dirac–Bergmann theory of constraints ⋮ The constraint algorithm in the jet formalism ⋮ On cosymplectic dynamics. I. ⋮ Cosymplectic and contact structures for time-dependent and dissipative Hamiltonian systems ⋮ The constraint algorithm for time-dependent Lagrangians ⋮ CoKähler and cosymplectic Hom-Lie algebras ⋮ Invariants of Lagrangians and their classifications ⋮ SYMMETRIES IN CLASSICAL FIELD THEORY ⋮ Some aspects of the theory of manifolds over algebras and Weil bundles ⋮ An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems ⋮ A SURVEY ON COSYMPLECTIC GEOMETRY ⋮ On locally conformally cosymplectic Hamiltonian dynamics and Hamilton–Jacobi theory

Cites Work

• Almost s-tangent manifolds
• Le théorème de réduction de Marsden-Weinstein en géométrie cosymplectique et de contact. (The Marsden-Weinstein reduction theorem in cosymplectic and contact geometry)
• Structure presque tangente et connexions. I
• Tangent bundle geometry Lagrangian dynamics
• Gradient vector fields on cosymplectic manifolds
• A geometric classification of Lagrangian functions and the reduction of evolution space
• Lagrangian submanifolds and higher-order mechanical systems

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