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임의의 푸아송 다양체 <math>M</math>에 대하여, 심플렉틱 다양체 <math>\tilde M</math> 및 [[전사 함수|전사]] [[침몰 (수학)|침몰]]인 푸아송 사상
:<math>\phi\colon \tilde M\to M</math>
이 존재한다.<ref> {{cite저널 journal인용|first = Marius|last = Crainic|first2 = Ioan |last2 = Mărcuț|title = On the existence of symplectic realizations|journal = Journal of Symplectic Geometry|volume = 9|year = 2011|issue = 4|pages = 435–444|arxiv=1009.2085|언어=en}}</ref><ref>{{저널 인용|first = М. В.|last = Карасёв|title = Аналоги объектов теории групп Ли для нелинейных скобок Пуассона |journal = Известия академии наук Союза Советских Социалистических Республик. Серия математическая |volume = 28 |year = 1987|pages = 497–527 | doi=10.1070/IM1987v028n03ABEH000895 | url=http://mi.mathnet.ru/izv1499 | zbl=0624.58007 | mr= 854594 | 언어=ru}} </ref><ref>{{cite저널 journal인용|first = Alan |last = Weinstein|title = The local structure of Poisson manifolds|journal = Journal of Differential Geometry|volume = 18|year = 1983|issue = 3|pages = 523–557 | doi=10.4310/jdg/1214437787 | mr = 723816 | zbl= 0524.58011|언어=en}} {{cite저널 journal인용|first = Alan |last = Weinstein|title = Errata and addenda: “The local structure of Poisson manifolds” |journal = Journal of Differential Geometry|volume = 18|year = 1983|issue = 3|pages = 523–557 | doi=10.4310/jdg/1214437787 | doi=10.4310/jdg/1214439822 | mr= 834280 | 언어=en}}</ref>
== 예 ==
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