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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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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2007
2007
A variational geometrical approach is applied to find the characteristic shape of the Mobius strip made of an inextensible… Expand
2005
2005
Abstract We present a family of complexes playing the same role, for homogeneous variational problems, that the horizontal parts… Expand
2000
2000
We study the obstruction to the exactness of the variational complex for a field theory on an affine bundle. 
2000
2000
We obtain the cohomology of the variational bicomplex on the infinite order jet space of a smooth fiber bundle in the class of… Expand
2000
2000
We obtain the cohomology of the variational bicomplex on the infinite order jet space of a smooth fiber bundle in the class of… Expand
Highly Cited
1995
Highly Cited
1995
Yang-Mills models with compact gauge group coupled to matter fields are considered. The general tools developed in a companion… Expand
1995
1995
It is shown that the new formula for the field theory Poisson brackets arises naturally in the proposed extension of the formal… Expand
1994
1994
Developing ideas based on combinatorial formulas for characteristic classes we introduce the algebra modeling secondary… Expand
1993
1993
We establish a group-invariant version of the variational bicomplex that is based on a general moving frame construction. The… Expand
Highly Cited
1992
Highly Cited
1992