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Title

On submanifolds and quotients of Poisson and Jacobi manifolds

Authors 1

Affiliations

  1. Institut de Mathématiques, Université Pierre et Marie Curie, 4, place Jussieu, 75252 Paris Cedex 05, France

Abstract

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.

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Banach Center Publications
2000/51/1
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Pages:
197-209
Main language of publication
English
Published
2000
Exact and natural sciences