Variational Lie derivative and cohomology classes
Mathematical Physics
2015-05-27 v2 math.MP
Abstract
We relate cohomology defined by a system of local Lagrangian with the cohomology class of the system of local variational Lie derivative, which is in turn a local variational problem; we show that the latter cohomology class is zero, since the variational Lie derivative `trivializes' cohomology classes defined by variational forms. As a consequence, conservation laws associated with symmetries ensuring the vanishing of the second variational derivative of a local variational problem are globally defined.
Keywords
Cite
@article{arxiv.1103.0434,
title = {Variational Lie derivative and cohomology classes},
author = {Marcella Palese and Ekkehart Winterroth},
journal= {arXiv preprint arXiv:1103.0434},
year = {2015}
}
Comments
7 pages, misprints in Corollary 2 and a misleading in the abstract and the introduction corrected, XIX International Fall Workshop on Geometry and Physics