Título inglés |
Poincaré-Cartan forms in higher order variational calculus on fibred manifolds. |
Título español |
Formas de Poincaré-Cartan en el cálculo variacional de orden superior sobre variedades fibradas. |
Autor/es |
Muñoz Masqué, Jaime |
Organización |
Secc. Mat. Univ. Salamanca, Salamanca, España |
Revista |
0213-2230 |
Publicación |
1985, 1 (4): 85-126, 16 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
The aim of the present work is to present a geometric formulation of higher order variational problems on arbitrary fibred manifolds. The problems of Engineering and Mathematical Physics whose natural formulation requires the use of second order differential invariants are classic, but it has been the recent advances in the theory of integrable non-linear partial differential equations and the consideration in Geometry of invariants of increasingly higher orders that has highlighted the interest of being able to work with a general formalism for higher order variational problems (see for instance [5], [7], [8]). |
Clasificación UNESCO |
120204 ; 120101 |
Palabras clave español |
Cálculo de variaciones ; Formas de Poincaré-Cartan ; Variedades |
Código MathReviews |
MR0850411 |
Código Z-Math |
Zbl 0606.49026 |
Acceso al artículo completo |