A variational principle for volume-preserving dynamics
Gaeta, G. ; Morando, P.
arXiv, 0305031 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-05-14
Classification:  Mathematical Physics,  Mathematics - Differential Geometry,  34A26,  37C10,  70G75 
@article{0305031,
     author = {Gaeta, G. and Morando, P.},
     title = {A variational principle for volume-preserving dynamics},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0305031}
}

Gaeta, G.; Morando, P. A variational principle for volume-preserving dynamics. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0305031/