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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M.C. was supported by the NWO, via the “Open Competitie” project 613.000.425 and the “Vidi” project 639.032.712. R.L.F. was supported in part by FCT/POCTI/FEDER and by grant PTDC/MAT/098936/2008.
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Crainic, M., Fernandes, R.L. Stability of symplectic leaves. Invent. math. 180, 481–533 (2010). https://doi.org/10.1007/s00222-010-0235-1
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DOI: https://doi.org/10.1007/s00222-010-0235-1