A geometric approach to Conn's linearization theorem

• 成果类型: Article
• 署名作者: Crainic, Marius; Fernandes, Rui Loja
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2011.173.2.14
• 发表日期: 2011
• 页码: 1121-1139
• 关键词: levi decomposition; normal forms; Poisson; Integrability

摘要

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.