Invariant Euler-Lagrange Equations and the Invariant Variational Bicomplex

@inproceedings{Kogan2000InvariantEE,
  title={Invariant Euler-Lagrange Equations and the Invariant Variational Bicomplex},
  author={Irina A. Kogan and Peter J. Olver},
  year={2000}
}
In this paper, we derive an explicit group-invariant formula for the EulerLagrange equations associated with an invariant variational problem. The method relies on a group-invariant version of the variational bicomplex induced by a general equivariant moving frame construction, and is of independent interest. Mathematics Subject Classification (2000): Primary: 53A55, 58J70, 58E40 Secondary: 35A30, 49S05, 58A20 † Supported in part by NSF Grant DMS 99–83403. ‡ Supported in part by NSF Grant DMS… CONTINUE READING
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