The Normal Form Theorem around Poisson Transversals
نویسندگان
چکیده
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 [12] and Weinstein’s splitting theorem [14]. 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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