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arXiv:0810.4437 [math.DG]AbstractReferencesReviewsResources

Stability of symplectic leaves

Marius Crainic, Rui Loja Fernandes

Published 2008-10-24, updated 2010-01-17Version 2

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.

Comments: Final version accepted for publication in Inventiones Mathematicae
Categories: math.DG, math.SG
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