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arXiv · 1010.0593

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

Hervé Gaussier·Alexandre Sukhov
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Abstract

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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Hervé Gaussier, Alexandre Sukhov. 2010-10-04. Levi-flat filling of real two-spheres in symplectic manifolds (I). https://arxiv.org/abs/1010.0593

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