Integrability of the field equations of invariant variational problems on linear frame bundles

✍ Scribed by J. Muñoz Masqué; M. Eugenia Rosado Marı́a

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 347 KB
• Volume: 49
• Category: Article
• ISSN: 0393-0440
• DOI: 10.1016/s0393-0440(03)00071-8

✦ Synopsis

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 variational problems as defined in [Symp. Math. 14 (1974) 219], are also given.