Submanifolds of symplectic manifolds with contact border

2000/07/06 by Francisco Presas, Presas, Francisco
Mathematics · #53D35 #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:53D35

paper · pdf · doi:10.48550/arxiv.math/0007037

21 pages

arxiv created 2000/07/06 · arxiv updated 2009/11/30

Abstract

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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