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arxiv: 0803.1541 · v1 · pith:AJPR3D67new · submitted 2008-03-11 · 🧮 math.CV · math.DG

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

classification 🧮 math.CV math.DG
keywords gromovkobayashimetricstrictlyalmostapplyboundedcase
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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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