Dual jet bundles, Hamiltonian systems and connections

DOI10.1016/j.difgeo.2014.03.010zbMath1319.58016OpenAlexW2314764329WikidataQ115356293 ScholiaQ115356293MaRDI QIDQ2350995

Olga Krupková, David J.Saunders

Publication date: 26 June 2015

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1854/LU-5820731

zbMATH Keywords

regularityLagrangian systemsEhresmann connectiondual jet bundleHamilton-De Donder systems

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Jets in global analysis (58A20) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (4)

Tangent bundle geometry induced by second order partial differential equations ⋮ Lepage Manifolds ⋮ Shape maps for second order partial differential equations ⋮ Cauchy data space and multisymplectic formulation of conformal classical field theories

Cites Work

• On the multisymplectic formalism for first order field theories
• Lagrangian and Hamiltonian duality
• The Hamilton-Cartan formalism in the calculus of variations
• Geometry of multisymplectic Hamiltonian first-order field theories
• A Tulczyjew triple for classical fields
• AFFINE DUALITY AND LAGRANGIAN AND HAMILTONIAN SYSTEMS
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