In mathematics, the Lagrangian theory on fiber bundles is globally formulated in algebraic terms of the variational bicomplex, without appealing toâ€¦Â (More)

Semantic Scholar uses AI to extract papers important to this topic.

2011

2011

- Serge Preston
- 2011

In this work we show that the systems of balance equations (balance systems) of continuum thermodynamics occupy a natural placeâ€¦Â (More)

Is this relevant?

2009

2009

- Thomas J. Bridges, Peter E. Hydon, Jeffrey K. Lawson
- 2009

Multisymplecticity and the variational bicomplex are two subjects which have developed independently. Our main observation isâ€¦Â (More)

Is this relevant?

2008

2008

- Roberto Ferreiro PÃ©rez
- 2008

The differential forms on the jet bundle JâˆžE of a bundle E â†’ M over a compact n-manifold M of degree greater than n determineâ€¦Â (More)

Is this relevant?

2008

2008

- Dylan J Saunders
- 2008

We present a family of complexes playing the same rÃ´le, for homogeneous variational problems, that the horizontal parts of theâ€¦Â (More)

Is this relevant?

2006

2006

- Dylan J Saunders
- 2006

We show how the homogeneous variational bicomplex provides a useful formalism for describing a number of properties of singleâ€¦Â (More)

Is this relevant?

2005

2005

- G. Sardanashvily
- 2005

Lagrangian formalism on graded manifolds is phrased in terms of the Grassmann-graded variational bicomplex, generalizing theâ€¦Â (More)

Is this relevant?

2000

2000

In this paper, we derive an explicit group-invariant formula for the EulerLagrange equations associated with an invariantâ€¦Â (More)

Is this relevant?

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 ofâ€¦Â (More)

Is this relevant?

1994

1993

1993

We establish a group-invariant version of the variational bicomplex that is based on a general moving frame construction. Theâ€¦Â (More)

Is this relevant?