Stability of symplectic leaves

• 成果类型: Article
• 署名作者: Crainic, Marius; Fernandes, Rui Loja
• 署名单位: Universidade de Lisboa; Utrecht University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-010-0235-1
• 发表日期: 2010
• 页码: 481-533
• 关键词: poisson manifolds; lie brackets; Integrability; points

摘要

We find computable criteria for stability of symplectic leaves of Poisson manifolds. Using Poisson geometry as an inspiration, we also give a general criterion for stability of leaves of Lie algebroids, including singular ones. This not only extends but also provides a new approach (and proofs) to the classical stability results for foliations and group actions.