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

✍ Scribed by Ján Brajerčík


Book ID
113063576
Publisher
Springer
Year
2011
Tongue
English
Weight
150 KB
Volume
61
Category
Article
ISSN
0011-4642

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The integrability of the Euler-Lagrange equations and the Jacobi fields of the natural basis of Lagrangian densities on the bundle of linear frames of a manifold which are invariant under diffeomorphisms, is stated. Applications to the reducibility of the pre-symplectic structure attached to such va