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Variational bicomplex
In mathematics, the Lagrangian theory on fiber bundles is globally formulated in algebraic terms of the variational bicomplex, without appealing to…
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Related topics
Related topics
4 relations
Broader (1)
Calculus of variations
Lagrangian system
Noether identities
Noether's theorem
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2010
2010
A differential—Difference bicomplex
V. Zharinov
2010
Corpus ID: 120031216
We develop the method of difference jets on a multidimensional integer lattice. Based on this, we construct a lattice…
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2009
2009
Contemporary Mathematics The Invariant Variational Bicomplex
I. Kogan
,
P. Olver
2009
Corpus ID: 408866
We establish a group-invariant version of the variational bicomplex that is based on a general moving frame construction. The…
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2009
2009
On incompleteness of classical field theory
G. Sardanashvily
2009
Corpus ID: 115176905
Classical field theory is adequately formulated as Lagrangian theory on fibre bundles and graded manifolds. One however observes…
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2006
2006
How to recover a Lagrangian using the homogeneous variational bicomplex
D.J.Saunders
2006
Corpus ID: 119126148
We show how the homogeneous variational bicomplex provides a useful formalism for describing a number of properties of single…
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2002
2002
Ten lectures on jet manifolds in classical and quantum field theory
G.Sardanashvily
2002
Corpus ID: 119151701
A bstract. TheseLecturessum m arizetherelevantm aterialon existentapplicationsofjetm anifold techniques to classicaland quantum…
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2000
2000
Cohomology of the variational bicomplex on the infinite order jet space
G. Giachetta
,
L. Mangiarotti
,
G. Sardanashvily
2000
Corpus ID: 18196171
We obtain the cohomology of the variational bicomplex on the infinite order jet space of a smooth fiber bundle in the class of…
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1998
1998
Divergences as a grading of the formal variational calculus
V. Soloviev
1998
Corpus ID: 16800040
It is shown that the new formula for the field theory Poisson brackets arise naturally in the extension of the formal variational…
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Review
1997
Review
1997
Hodge decomposition and conservation laws
J. Sanders
,
Jing Ping Wang
1997
Corpus ID: 28923467
1993
1993
The Invariant Variational Bicomplex
I. Kogan
,
P. Olver
1993
Corpus ID: 15358040
We establish a group-invariant version of the variational bicomplex that is based on a general moving frame construction. The…
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1993
1993
Internal Symmetries of Differential Equations
I. Anderson
,
N. Kamran
,
P. Olver
1993
Corpus ID: 665235
Backlund’s Theorem, which characterizes contact transformations, is generalized to give an analogous characterization of…
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