Invariant Euler-Lagrange Equations and the Invariant Variational Bicomplex
نویسندگان
چکیده
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 01–03944. August 20, 2003
منابع مشابه
The Invariant Variational Bicomplex
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تاریخ انتشار 2000