Stability of symplectic leaves

Details Stability of symplectic leaves Stability of symplectic leaves

2008-10-24

arxiv.org/abs/0810.4437v2

Mathematics

Differential Geometry

Final version accepted for publication in Inventiones Mathematicae

Scientific paper

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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