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arXiv · 0810.4437

Stability of symplectic leaves

Marius Crainic·Rui Loja Fernandes
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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.

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Marius Crainic, Rui Loja Fernandes. 2010-01-17. Stability of symplectic leaves. https://arxiv.org/abs/0810.4437

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