We obtain conditions under which a submanifold of a Poisson manifold has an induced Poisson structure, which encompass both the Poisson submanifolds of A. Weinstein [21] and the Poisson structures on the phase space of a mechanical system with kinematic constraints of Van der Schaft and Maschke [20]. Generalizations of these results for submanifolds of a Jacobi manifold are briefly sketched.
@article{bwmeta1.element.bwnjournal-article-bcpv51z1p197bwm,
author = {Marle, Charles-Michel},
title = {On submanifolds and quotients of Poisson and Jacobi manifolds},
journal = {Banach Center Publications},
volume = {51},
year = {2000},
pages = {197-209},
zbl = {0988.53039},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv51z1p197bwm}
}
Marle, Charles-Michel. On submanifolds and quotients of Poisson and Jacobi manifolds. Banach Center Publications, Tome 51 (2000) pp. 197-209. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv51z1p197bwm/
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