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

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

2010-10-04

arxiv.org/abs/1010.0593v2

Mathematics

Complex Variables

18 pages

Scientific paper

Let (M,J,w) be a manifold with an almost complex structure J tamed by a
symplectic form w. We suppose that M has complex dimension two, is Levi convex
and has bounded geometry. We prove that a real two-sphere with two elliptic
points, embedded into the boundary of M may be foliated by the boundaries of
pseudoholomorphic discs.

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