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

Léa Blanc-Centi

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arXiv · 0803.1541

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

Léa Blanc-Centi

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Abstract

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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BibTeX RIS

Léa Blanc-Centi. 2008-03-11. On the Gromov hyperbolicity of the Kobayashi metric on strictly pseudoconvex regions in the almost complex case. https://arxiv.org/abs/0803.1541

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