Submanifolds of symplectic manifolds with contact border

Details Submanifolds of symplectic manifolds with contact border Submanifolds of symplectic manifolds with contact border

2000-07-06

arxiv.org/abs/math/0007037v1

Mathematics

Symplectic Geometry

21 pages

Scientific paper

We construct symplectic submanifolds of symplectic manifolds with contact
border. The boundary of such submanifolds is shown to be a contact submanifold
of the contact border. We also give a topological characterization of the
constructed submanifolds by means of a ``relative Lefschetz hyperplane
Theorem''. We sketch some of the applications of the results.

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