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arXiv · 1306.6055

The Normal Form Theorem around Poisson Transversals

Pedro Frejlich·Ioan Marcut
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Abstract

We prove a normal form theorem for Poisson structures around Poisson transversals (also called cosymplectic submanifolds), which simultaneously generalizes Weinstein's symplectic neighborhood theorem from symplectic geometry and Weinstein's splitting theorem. Our approach turns out to be essentially canonical, and as a byproduct, we obtain an equivariant version of the latter theorem.

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Pedro Frejlich, Ioan Marcut. 2013-06-25. The Normal Form Theorem around Poisson Transversals. https://doi.org/10.2140/pjm.2017.287.371

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