Gromov hyperbolicity of strongly pseudoconvex almost complex manifolds

Bertrand, Florian; Gaussier, Hervé

doi:10.1090/proc/12564

Gromov hyperbolicity of strongly pseudoconvex almost complex manifolds
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by Florian Bertrand and Hervé Gaussier PDF

Proc. Amer. Math. Soc. 143 (2015), 3901-3913 Request permission

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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