Invariant Euler–Lagrange Equations and the Invariant Variational Bicomplex |
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| Authors: | Irina A Kogan Peter J Olver |
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| Institution: | (1) Department of Mathematics, Yale University, New Haven, CT, 06520, U.S.A.;(2) School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, U.S.A. |
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| Abstract: | In this paper, we derive an explicit group-invariant formula for the Euler–Lagrange 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. |
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| Keywords: | calculus of variations Lie group moving frame differential invariant Euler– Lagrange equation variational bicomplex |
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