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arXiv · 1009.2090

A Normal Form Theorem around Symplectic Leaves

Marius Crainic·Ioan Marcut
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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). The result is also a generalization of Conn's linearization theorem from one-point leaves to arbitrary symplectic leaves (however, we do not make use of Conn's theorem).

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Marius Crainic, Ioan Marcut. 2012-08-11. A Normal Form Theorem around Symplectic Leaves. https://arxiv.org/abs/1009.2090

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