Codimension one symplectic foliations

2001/11/26 by Omegar Calvo, Calvo, Omegar, Vicente Munoz +3
Mathematics · #53D35 #FOS: Mathematics #Symplectic Geometry (math.SG) #math.SG #msc:53D35

paper · pdf · doi:10.48550/arxiv.math/0111259

arxiv created 2001/11/26 · arxiv updated 2009/11/30

Abstract

We define the concept of symplectic foliation on a symplectic manifold and provide a method of constructing many examples, by using asymptotically holomorphic techniques.

Related

• Symplectic foliations induced by harmonic forms on 3-manifolds
• Existence of conformal symplectic foliations on closed manifolds
• Singular foliations with trivial canonical class
• A smooth codimension-one foliation of the five-sphere by symplectic\n leaves
• A note on Mitsumatsu's construction of a leafwise symplectic foliation