On the Legendre transformation for a class of nonregular higher-order Lagrangian field theories

DOI10.1063/1.528925zbMath0703.58020OpenAlexW1985516504MaRDI QIDQ3482579

Marco Ferraris, Mauro Francaviglia, Guido Magnano

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528925

zbMATH Keywords

generalized Legendre transformationhigher order Lagrangian field theories

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Yang-Mills and other gauge theories in quantum field theory (81T13) Jets in global analysis (58A20) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Variational principles of physics (49S05) Higher-order theories for problems in Hamiltonian and Lagrangian mechanics (70H50)

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Cites Work

• A geometrical version of the higher order Hamilton formalism in fibred manifolds
• On a new variational principle in general relativity and the energy of the gravitational field
• Role of surface integrals in the Hamiltonian formulation of general relativity
• The Hamilton-Cartan formalism in the calculus of variations
• Quadratic lagrangians and general relativity