Sharp estimates of the Kobayashi metric and Gromov hyperbolicity
Complex Variables
2015-05-13 v1
Abstract
Let D be a smooth relatively compact and strictly J-pseudoconvex domain in a four dimensional almost complex manifold (M,J). We give sharp estimates of the Kobayashi metric. Our approach is based on an asymptotic quantitative description of both the domain D and the almost complex structure J near a boundary point. Following Z.M.Balogh and M.Bonk, these sharp estimates provide the Gromov hyperbolicity of the domain D.
Keywords
Cite
@article{arxiv.0801.0505,
title = {Sharp estimates of the Kobayashi metric and Gromov hyperbolicity},
author = {Florian Bertrand},
journal= {arXiv preprint arXiv:0801.0505},
year = {2015}
}
Comments
26 pages, 3 figures