Levi decomposition for smooth Poisson structures
微分几何
2007-05-23 v5 辛几何
摘要
We prove the existence of a local smooth Levi decomposition for smooth Poisson structures and Lie algebroids near a singular point. In the appendix of this paper, we show an abstract Nash-Moser normal form theorem, which generalizes our Levi decomposition result and which may be helpful in the study of other smooth normal form problems.
引用
@article{arxiv.math/0209004,
title = {Levi decomposition for smooth Poisson structures},
author = {Philippe Monnier and Nguyen Tien Zung},
journal= {arXiv preprint arXiv:math/0209004},
year = {2007}
}
备注
38 pages. The proof of the main theorem is simplified. An appendix about an abstract Nash-Moser normal form theorem is added