A Normal Form Theorem around Symplectic Leaves
Differential Geometry
2012-12-03 v3 Symplectic Geometry
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).
Cite
@article{arxiv.1009.2090,
title = {A Normal Form Theorem around Symplectic Leaves},
author = {Marius Crainic and Ioan Marcut},
journal= {arXiv preprint arXiv:1009.2090},
year = {2012}
}
Comments
32 pages. v3: some proofs were simplified, typos fixed, definitions of well-known notions were left out