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arXiv · 1202.4985

Gromov hyperbolicity of strongly pseudoconvex almost complex manifolds

Florian Bertrand·Hervé Gaussier
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Abstract

Let $D=\{\rho < 0\}$ be a smooth relatively compact domain in an almost complex manifold $(M,J)$, where $\rho$ is a smooth defining function of $D$, strictly $J$-plurisubharmonic in a neighborhood of the closure $\overline{D}$ of $D$. We prove that $D$ has a connected boundary and is Gromov hyperbolic.

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Florian Bertrand, Hervé Gaussier. 2012-02-22. Gromov hyperbolicity of strongly pseudoconvex almost complex manifolds. https://arxiv.org/abs/1202.4985

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