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- Variational_bicomplex abstract "In mathematics, the Lagrangian theory on fiber bundles is globally formulated in algebraic terms of the variational bicomplex, without appealing to the calculus of variations. For instance, this is the case of classical field theory on fiber bundles (covariant classical field theory). The variational bicomplex is a cochain complex of the differential graded algebra of exterior forms on jet manifolds of sections of a fiber bundle. Lagrangians and Euler–Lagrange operators on a fiber bundle are defined as elements of this bicomplex. Cohomology of the variational bicomplex leads to the global first variational formula and first Noether's theorem.Extended to Lagrangian theory of even and odd fields on graded manifolds, the variational bicomplex provides strict mathematical formulation of classical field theory in a general case of reducible degenerate Lagrangians and the Lagrangian BRST theory.".
- Variational_bicomplex wikiPageExternalLink 1214435235.
- Variational_bicomplex wikiPageExternalLink 0708.2434.
- Variational_bicomplex wikiPageExternalLink 9602163.
- Variational_bicomplex wikiPageID "23569508".
- Variational_bicomplex wikiPageRevisionID "595680857".
- Variational_bicomplex hasPhotoCollection Variational_bicomplex.
- Variational_bicomplex subject Category:Calculus_of_variations.
- Variational_bicomplex subject Category:Differential_equations.
- Variational_bicomplex subject Category:Differential_geometry.
- Variational_bicomplex type Abstraction100002137.
- Variational_bicomplex type Communication100033020.
- Variational_bicomplex type DifferentialEquation106670521.
- Variational_bicomplex type DifferentialEquations.
- Variational_bicomplex type Equation106669864.
- Variational_bicomplex type MathematicalStatement106732169.
- Variational_bicomplex type Message106598915.
- Variational_bicomplex type Statement106722453.
- Variational_bicomplex comment "In mathematics, the Lagrangian theory on fiber bundles is globally formulated in algebraic terms of the variational bicomplex, without appealing to the calculus of variations. For instance, this is the case of classical field theory on fiber bundles (covariant classical field theory). The variational bicomplex is a cochain complex of the differential graded algebra of exterior forms on jet manifolds of sections of a fiber bundle.".
- Variational_bicomplex label "Variational bicomplex".
- Variational_bicomplex label "Вариационный бикомплекс".
- Variational_bicomplex sameAs m.06w56pr.
- Variational_bicomplex sameAs Q7915796.
- Variational_bicomplex sameAs Q7915796.
- Variational_bicomplex sameAs Variational_bicomplex.
- Variational_bicomplex wasDerivedFrom Variational_bicomplex?oldid=595680857.
- Variational_bicomplex isPrimaryTopicOf Variational_bicomplex.