Levi-flat filling of real two-spheres in symplectic manifolds (II)

2011/06/03 by Gaussier, H., Sukhov, A.
#32GO5 #32H02 #53C15 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1106.0638

Abstract

We consider a compact complex manifold with smooth Levi convex boundary and a tame symplectic form. Consider a real two-sphere with elliptic and hyperbolic complex points generically embedded to the boundary of manifold. We prove a result on filling of the sphere by a Levi-flat hypersurface.

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