Variational principles on rth order jets of fibre bundles in field theory

DOI10.1063/1.523904zbMath0415.58010OpenAlexW1974046483MaRDI QIDQ3051124

José A. de Azcárraga, Victor Aldaya

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1063/1.523904

zbMATH Keywords

Lagrangian densityjet bundlesPoincare-Cartan formHamilton variational principlesHamiltonian densities

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Hamiltonian and Lagrangian mechanics (70Hxx)

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Cites Work

• On generalized invariant transformations
• A geometric theory of ordinary first order variational problems in fibered manifolds. I: Critical sections
• A geometric theory of ordinary first order variational problems in fibered manifolds. II: Invariance
• A canonical structure for classical field theories
• Fibre bundles associated with space-time
• The Hamilton-Cartan formalism in the calculus of variations
• Vector bundles, rth order Noether invariants and canonical symmetries in Lagrangian field theory

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