Poincaré-Cartan forms in higher order variational calculus on fibred manifolds.

Muñoz Masqué, Jaime. "Poincaré-Cartan forms in higher order variational calculus on fibred manifolds.." Revista Matemática Iberoamericana 1.4 (1985): 85-126. <http://eudml.org/doc/39833>.

@article{MuñozMasqué1985,
abstract = {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]).},
author = {Muñoz Masqué, Jaime},
journal = {Revista Matemática Iberoamericana},
keywords = {Cálculo de variaciones; Formas de Poincaré-Cartan; Variedades; fibred manifold; Poincaré-Cartan form; Lagrange density; linear connection; Euler-Lagrange form; Hamiltonian extremals; Noether theorem},
language = {eng},
number = {4},
pages = {85-126},
title = {Poincaré-Cartan forms in higher order variational calculus on fibred manifolds.},
url = {http://eudml.org/doc/39833},
volume = {1},
year = {1985},
}

TY - JOUR
AU - Muñoz Masqué, Jaime
TI - Poincaré-Cartan forms in higher order variational calculus on fibred manifolds.
JO - Revista Matemática Iberoamericana
PY - 1985
VL - 1
IS - 4
SP - 85
EP - 126
AB - 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]).
LA - eng
KW - Cálculo de variaciones; Formas de Poincaré-Cartan; Variedades; fibred manifold; Poincaré-Cartan form; Lagrange density; linear connection; Euler-Lagrange form; Hamiltonian extremals; Noether theorem
UR - http://eudml.org/doc/39833
ER -