| authors | Crainic, M.; Fernandes, R.L. |
| source | Inventiones mathematicae, Volume: 180 (2010), pp. 481-533 |
| full text | [Full text]
|
| publisher | Springer |
| URL publisher | [Website publisher]
|
| document type | Article |
| version | Publisher version |
| disciplines | Wiskunde |
| 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. |
| keywords | mathematics, symplectic leaves, Poisson manifolds, Lie algebroids |
| ISSN | 0020-9910 |