General Volume-Preserving Mechanical Systems
Mathematical Physics
2018-01-17 v1 math.MP
Symplectic Geometry
Abstract
In this letter, we present the general form of equations that generate a volume-preserving flow on a symplectic manifold (M, \omega). It is shown that every volume-preserving flow has some 2-forms acting the role of the Hamiltonian functions in the Hamiltonian mechanics and the ordinary Hamilton equations are included as a special case with a 2-form \frac{1}{n-1} H \omega where H is the corresponding Hamiltonian.
Keywords
Cite
@article{arxiv.math-ph/0208033,
title = {General Volume-Preserving Mechanical Systems},
author = {Bin Zhou and Han-Ying Guo and Ke Wu},
journal= {arXiv preprint arXiv:math-ph/0208033},
year = {2018}
}
Comments
Plain LaTeX, 13 pages, no figures