A variational principle for volume-preserving dynamics
Mathematical Physics
2015-06-26 v1 Differential Geometry
math.MP
Abstract
We provide a variational description of any Liouville (i.e. volume preserving) autonomous vector fields on a smooth manifold. This is obtained via a ``maximal degree'' variational principle; critical sections for this are integral manifolds for the Liouville vector field. We work in coordinates and provide explicit formulae.
Keywords
Cite
@article{arxiv.math-ph/0305031,
title = {A variational principle for volume-preserving dynamics},
author = {G. Gaeta and P. Morando},
journal= {arXiv preprint arXiv:math-ph/0305031},
year = {2015}
}