论文标题
泊松几何植物泊松submanifolds
Poisson geometry around Poisson submanifolds
论文作者
论文摘要
我们为围绕一大批Poisson submanifolds的泊松歧管构建了一阶局部模型,并提供该模型为局部正常形式的条件。所得的线性化定理包括特殊情况,所有已知的固定点和互合叶的线性定理。这些结果的互合型组版本可以解决群体胶体均匀嵌入问题的解决方案。
We construct a first order local model for Poisson manifolds around a large class of Poisson submanifolds and we give conditions under which this model is a local normal form. The resulting linearization theorem includes as special cases all the known linearization theorems for fixed points and symplectic leaves. The symplectic groupoid version of these results gives a solution to the groupoid coisotropic embedding problem.