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Displaying similar documents to “Some concepts of regularity for parametric multiple-integral problems in the calculus of variations”

Order reduction of the Euler-Lagrange equations of higher order invariant variational problems on frame bundles

Ján Brajerčík (2011)

Czechoslovak Mathematical Journal

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Let μ : F X X be a principal bundle of frames with the structure group Gl n ( ) . It is shown that the variational problem, defined by Gl n ( ) -invariant Lagrangian on J r F X , can be equivalently studied on the associated space of connections with some compatibility condition, which gives us order reduction of the corresponding Euler-Lagrange equations.