Euler-Lagrange equations for functionals defined on Fr\'echet manifolds
Functional Analysis
2018-05-28 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
We prove a version of the variational Euler-Lagrange equations valid for functionals defined on Fr\'echet manifolds, such as the spaces of sections of differentiable vector bundles appearing in various physical theories.
Cite
@article{arxiv.1805.09993,
title = {Euler-Lagrange equations for functionals defined on Fr\'echet manifolds},
author = {José A Vallejo},
journal= {arXiv preprint arXiv:1805.09993},
year = {2018}
}
Comments
Paper already published. Placed here for archiving purposes