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

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.

16 pages, 4 figures

References in corpus (1)

• Sharp estimates of the Kobayashi metric and Gromov hyperbolicity