Classical mechanical systems based on Poisson symmetry
dg-ga
2008-02-03 v1 微分几何
摘要
The existence of the theory of `twisted cotangent bundles' (symplectic groupoids) allows to study classical mechanical systems which are generalized in the sense that their configurations form a Poisson manifold. It is natural to study from this point of view first such systems which arise in the context of some basic physical symmetry (space-time, rotations, etc.). We review results obtained so far in this direction.
引用
@article{arxiv.dg-ga/9612005,
title = {Classical mechanical systems based on Poisson symmetry},
author = {S. Zakrzewski},
journal= {arXiv preprint arXiv:dg-ga/9612005},
year = {2008}
}
备注
LaTeX, 9 pages