The Normal Form Theorem around Poisson Transversals
Symplectic Geometry
2017-04-12 v3 Differential Geometry
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.
Cite
@article{arxiv.1306.6055,
title = {The Normal Form Theorem around Poisson Transversals},
author = {Pedro Frejlich and Ioan Marcut},
journal= {arXiv preprint arXiv:1306.6055},
year = {2017}
}
Comments
15 pages; v2: the title was changed; v3: proof of Lemma 2 was included