Poincaré-Cartan forms in higher order variational calculus on fibred manifolds

DOI10.4171/RMI/20zbMath0606.49026OpenAlexW2078503930MaRDI QIDQ1084662

Jaime Muñoz Masqué

Publication date: 1985

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39833

zbMATH Keywords

Noether theoremlinear connectionPoincaré-Cartan formLagrange densityEuler-Lagrange formfibred manifoldHamiltonian extremals

Mathematics Subject Classification ID

Jets in global analysis (58A20) Exterior differential systems (Cartan theory) (58A15) Linear and affine connections (53B05) Hamiltonian and Lagrangian mechanics (70H99) Manifolds and measure-geometric topics (49Q99)

Related Items

$$D$$ -modules, contact valued calculus and Poincare-Cartan form, A new multisymplectic unified formalism for second order classical field theories, Multisymplectic unified formalism for Einstein-Hilbert gravity, Cartan forms for first order constrained variational problems, Stress-energy-momentum tensors for natural constrained variational problems, Variational formulation of Chern--Simons theory for arbitrary Lie groups, Global shift operators and the higher order calculus of variations, Unnamed Item, Stress-energy-momentum tensors in higher order variational calculus, Hamilton equations for elasticae in the Euclidean 3-space