Stability of symplectic leaves
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Publication date
2010
Authors
Crainic, Marius
Fernandes, R.L.
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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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Crainic, M & Fernandes, R L 2010, 'Stability of symplectic leaves', Inventiones Mathematicae, vol. 180, pp. 481-533. https://doi.org/10.1007/s00222-010-0235-1