On the Gromov hyperbolicity of the Kobayashi metric on strictly pseudoconvex regions in the almost complex case

Details On the Gromov hyperbolicity of the Kobayashi metric on strictly pseudoconvex regions in the almost complex case On the Gromov hyperbolicity of the Kobayashi metric on strictly pseudoconvex regions in the almost complex case

2008-03-11

arxiv.org/abs/0803.1541v1

Mathematics

Complex Variables

16 pages, 4 figures

Scientific paper

We prove that every bounded strictly $J$-convex region equipped with the
Kobayashi metric is hyperbolic in the sense of Gromov. We apply this result to
the study of the dynamics of pseudo-holomorphic maps.

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