Symplectic, Multisymplectic Structures and Euler-Lagrange Cohomology

Simple item page
dc.creatorGuo, H. Y.
dc.creatorLi, Y. Q.
dc.creatorWu, K.
dc.creatorWang, S. K.
dc.date2001-04-17
dc.date.accessioned2026-07-07T04:11:34Z
dc.date.available2026-07-07T04:11:34Z
dc.descriptionWe study the Euler-Lagrange cohomology and explore the symplectic or multisymplectic geometry and their preserving properties in classical mechanism and classical field theory in Lagrangian and Hamiltonian formalism in each case respectively. By virtue of the Euler-Lagrange cohomology that is nontrivial in the configuration space, we show that the symplectic or multisymplectic geometry and related preserving property can be established not only in the solution space but also in the function space if and only if the relevant closed Euler-Lagrange cohomological condition is satisfied in each case. We also apply the cohomological approach directly to Hamiltonian-like ODEs and Hamiltonian-like PDEs no matter whether there exist known Lagrangian and/or Hamiltonian associated with them.
dc.description24 pages, 0 figure
dc.identifierhttps://arxiv.org/abs/hep-th/0104140
dc.identifierhttp://arxiv.org/abs/hep-th/0104140
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50636
dc.subjectHigh Energy Physics - Theory
dc.titleSymplectic, Multisymplectic Structures and Euler-Lagrange Cohomology
dc.typetext

Files

Collections

arXiv