A normal form theorem around symplectic leaves

Publication date

2012-11

Authors

Crainic, MariusISNI 0000000387220139
Marcut, IoanISNI 0000000393413092

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Article
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Abstract

We prove the Poisson geometric version of the Local Reeb Stability (from foliation theory) and of the Slice Theorem (from equivariant geometry), which is also a generalization of Conn’s linearization theorem.

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Citation

Crainic, M N & Marcut, I T 2012, 'A normal form theorem around symplectic leaves', Journal of Differential Geometry, vol. 92, no. 3, pp. 417-461. https://doi.org/10.4310/jdg/1354110196