On the Gromov hyperbolicity of strongly pseudoconvex domains in almost complex manifolds

Details On the Gromov hyperbolicity of strongly pseudoconvex domains in almost complex manifolds On the Gromov hyperbolicity of strongly pseudoconvex domains in almost complex manifolds

2012-02-22

arxiv.org/abs/1202.4985v1

Mathematics

Complex Variables

9 pages

Scientific paper

Let D be a strongly J-pseudoconvex domain, with a connected boundary, in an
almost complex manifold (M,J). We give a complete result on the equivalence
between the Gromov hyperbolicity and the Kobayashi hyperbolicity (or
equivalently the Brody hyperbolicity) of D.

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