Stability of symplectic leaves
Differential Geometry
2010-01-18 v2 Symplectic Geometry
Abstract
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.
Cite
@article{arxiv.0810.4437,
title = {Stability of symplectic leaves},
author = {Marius Crainic and Rui Loja Fernandes},
journal= {arXiv preprint arXiv:0810.4437},
year = {2010}
}
Comments
Final version accepted for publication in Inventiones Mathematicae