A note on the geometry of pseudoconvex domains of finite type in almost complex manifolds

Details A note on the geometry of pseudoconvex domains of finite type in almost complex manifolds A note on the geometry of pseudoconvex domains of finite type in almost complex manifolds

2010-08-17

arxiv.org/abs/1008.2969v1

Mathematics

Complex Variables

Scientific paper

Let $D=\{\rho<0\}$ be a smooth domain of finite type in an almost complex
manifold (M,J) of real dimension four. We assume that the defining function
$\rho$ is J-plurisubharmonic on a neighborhood of $\overline{D}$. We study the
asymptotic behavior of pseudoholomorphic discs contained in the domain D.

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