Uniqueness results for operators in the variational sequence

W. M. Mikulski. "Uniqueness results for operators in the variational sequence." Annales Polonici Mathematici 95.2 (2009): 125-133. <http://eudml.org/doc/280145>.

@article{W2009,
abstract = {We prove that the most interesting operators in the Euler-Lagrange complex from the variational bicomplex in infinite order jet spaces are determined up to multiplicative constant by the naturality requirement, provided the fibres of fibred manifolds have sufficiently large dimension. This result clarifies several important phenomena of the variational calculus on fibred manifolds.},
author = {W. M. Mikulski},
journal = {Annales Polonici Mathematici},
keywords = {natural operator; variational bicomplex; Euler-Lagrange complex; interior Euler operator; Helmholtz operator},
language = {eng},
number = {2},
pages = {125-133},
title = {Uniqueness results for operators in the variational sequence},
url = {http://eudml.org/doc/280145},
volume = {95},
year = {2009},
}

TY - JOUR
AU - W. M. Mikulski
TI - Uniqueness results for operators in the variational sequence
JO - Annales Polonici Mathematici
PY - 2009
VL - 95
IS - 2
SP - 125
EP - 133
AB - We prove that the most interesting operators in the Euler-Lagrange complex from the variational bicomplex in infinite order jet spaces are determined up to multiplicative constant by the naturality requirement, provided the fibres of fibred manifolds have sufficiently large dimension. This result clarifies several important phenomena of the variational calculus on fibred manifolds.
LA - eng
KW - natural operator; variational bicomplex; Euler-Lagrange complex; interior Euler operator; Helmholtz operator
UR - http://eudml.org/doc/280145
ER -