Symplectic Foliations and Generalized Complex Structures
نویسندگان
چکیده
منابع مشابه
Codimension one symplectic foliations and regular Poisson structures
In this short note we give a complete characterization of a certain class of compact corank one Poisson manifolds, those equipped with a closed one-form defining the symplectic foliation and a closed two-form extending the symplectic form on each leaf. If such a manifold has a compact leaf, then all the leaves are compact, and furthermore the manifold is a mapping torus of a compact leaf. These...
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Let Y be a hypersurface in a 2n-dimensional holomorphic symplectic manifold X. The restriction σ|Y of the holomorphic symplectic form induces a rank one foliation on Y . We investigate situations where this foliation has compact leaves; in such cases we obtain a space of leaves Y/F which has dimension 2n − 2 and admits a holomorphic symplectic form.
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 2014
ISSN: 0008-414X,1496-4279
DOI: 10.4153/cjm-2013-007-6