Invariant metrics and Hamiltonian Systems
Differential Geometry
2011-04-27 v2 Mathematical Physics
math.MP
Abstract
Via a non degenerate symmetric bilinear form we identify the coadjoint representation with a new representation and so we induce on the orbits a simplectic form. By considering Hamiltonian systems on the orbits we study some features of them and finally find commuting functions under the corresponding Lie-Poisson bracket
Cite
@article{arxiv.math/0301332,
title = {Invariant metrics and Hamiltonian Systems},
author = {Gabriela Ovando},
journal= {arXiv preprint arXiv:math/0301332},
year = {2011}
}
Comments
16 pages corrected typos, changed contents (Prop. 3.4 and Theorem in Section 3)