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

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

2011-06-03

arxiv.org/abs/1106.0638v2

Mathematics

Complex Variables

25 pages

Scientific paper

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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