A geometric approach to Conn's linearization theorem
Symplectic Geometry
2008-12-17 v1 Differential Geometry
Abstract
We give a soft geometric proof of the classical result due to Conn stating that a Poisson structure is linearizable around a singular point (zero) at which the isotropy Lie algebra is compact and semisimple.
Keywords
Cite
@article{arxiv.0812.3060,
title = {A geometric approach to Conn's linearization theorem},
author = {Marius Crainic and Rui Loja Fernandes},
journal= {arXiv preprint arXiv:0812.3060},
year = {2008}
}
Comments
13 pages