On Dirac structures admitting a variational approach
Differential Geometry
2023-10-25 v3 Mathematical Physics
math.MP
Abstract
We discuss the notion of basic cohomology for Dirac structures and, more generally, Lie algebroids. We then use this notion to characterize the obstruction to a variational formulation of Dirac dynamics.
Cite
@article{arxiv.2109.00313,
title = {On Dirac structures admitting a variational approach},
author = {Oscar Cosserat and Camille Laurent-Gengoux and Alexei Kotov and Leonid Ryvkin and Vladimir Salnikov},
journal= {arXiv preprint arXiv:2109.00313},
year = {2023}
}