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Stability of symplectic leaves
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