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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… Expand
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Broader (1)

Calculus of variations
Lagrangian systemNoether identitiesNoether's theorem

Papers overview

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2010
2010
Multisymplectic structures and the variational bicomplex
Multisymplecticity and the variational bicomplex are two subjects which have developed independently. Our main observation is… Expand
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2009
2009
Contemporary Mathematics The Invariant Variational Bicomplex
We establish a group-invariant version of the variational bicomplex that is based on a general moving frame construction. The… Expand
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Review
2007
Review
2007
Invariant Variational Problems and Invariant Flows via Moving Frames
This paper reviews the moving frame approach to the construction of the invariant variational bicomplex. Applications include… Expand
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2005
2005
Homogeneous variational complexes and bicomplexes
Abstract We present a family of complexes playing the same role, for homogeneous variational problems, that the horizontal parts… Expand
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2000
2000
Cohomology of the variational bicomplex on the infinite order jet space
We obtain the cohomology of the variational bicomplex on the infinite order jet space of a smooth fiber bundle in the class of… Expand
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2000
2000
On the obstruction to the exactness of the variational bicomplex
We study the obstruction to the exactness of the variational complex for a field theory on an affine bundle. 
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2000
2000
On the obstruction to the exactness of the variational bicomplex
We study the obstruction to the exactness of the variational complex for a field theory on an affine bundle. 
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1997
1997
The Cohomology of the Variational Bicomplex Invariant under the Symmetry Algebra of the Potential Kadomtsev-Petviashvili Equation
The variational bicomplex of forms invariant under the symmetry algebra of the potential Kadomtsev-Petviashvili equation is… Expand
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1993
1993
The Invariant Variational Bicomplex
We establish a group-invariant version of the variational bicomplex that is based on a general moving frame construction. The… Expand
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Highly Cited
1992
Highly Cited
1992
Introduction to the Variational Bicomplex
 
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