A Normal Form Theorem around Symplectic Leaves
arXiv:1009.2090
Abstract
We prove the Poisson geometric version of the Local Reeb Stability (from foliation theory) and of the Slice Theorem (from equivariant geometry). The result is also a generalization of Conn's linearization theorem from one-point leaves to arbitrary symplectic leaves (however, we do not make use of Conn's theorem).
32 pages. v3: some proofs were simplified, typos fixed, definitions of well-known notions were left out