Variational bicomplex

In mathematics, the Lagrangian theory on fiber bundles is globally formulated in algebraic terms of the variational bicomplex, without appealing to… (More)
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1993-2016
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2011
2011
In this work we show that the systems of balance equations (balance systems) of continuum thermodynamics occupy a natural place… (More)
  • table 1
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2009
2009
Multisymplecticity and the variational bicomplex are two subjects which have developed independently. Our main observation is… (More)
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2008
2008
  • Roberto Ferreiro Pérez
  • 2008
The differential forms on the jet bundle J∞E of a bundle E → M over a compact n-manifold M of degree greater than n determine… (More)
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2008
2008
We present a family of complexes playing the same rôle, for homogeneous variational problems, that the horizontal parts of the… (More)
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2006
2006
We show how the homogeneous variational bicomplex provides a useful formalism for describing a number of properties of single… (More)
  • figure 1
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2005
2005
  • G. Sardanashvily
  • 2005
Lagrangian formalism on graded manifolds is phrased in terms of the Grassmann-graded variational bicomplex, generalizing the… (More)
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2000
2000
In this paper, we derive an explicit group-invariant formula for the EulerLagrange equations associated with an invariant… (More)
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2000
2000
  • GIOVANNI GIACHETTA, LUIGI MANGIAROTTI
  • 2000
We obtain the cohomology of the variational bicomplex on the infinite order jet space of a smooth fiber bundle in the class of… (More)
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1993
1993
We establish a group-invariant version of the variational bicomplex that is based on a general moving frame construction. The… (More)
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